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404341041040 = 24517714187459
BaseRepresentation
bin1011110001001001001…
…10101010011110010000
31102122200020000002210121
411320210212222132100
523111042301303130
6505430211440024
741132643066226
oct5704446523620
91378606002717
10404341041040
11146530a81822
1266444bb6014
132c18aaca191
14157da930b16
15a7b7a87d7a
hex5e249aa790

404341041040 has 80 divisors (see below), whose sum is σ = 1009412357760. Its totient is φ = 150078494720.

The previous prime is 404341041007. The next prime is 404341041043. The reversal of 404341041040 is 40140143404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 404341040996 and 404341041014.

It is not an unprimeable number, because it can be changed into a prime (404341041043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997170 + ... + 2190289.

It is an arithmetic number, because the mean of its divisors is an integer number (12617654472).

Almost surely, 2404341041040 is an apocalyptic number.

404341041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404341041040 is an abundant number, since it is smaller than the sum of its proper divisors (605071316720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404341041040 is a wasteful number, since it uses less digits than its factorization.

404341041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187560 (or 4187554 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 404341041040 its reverse (40140143404), we get a palindrome (444481184444).

The spelling of 404341041040 in words is "four hundred four billion, three hundred forty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 355 568 680 710 1136 1207 1360 1420 2414 2840 4828 5680 6035 9656 12070 19312 24140 48280 96560 4187459 8374918 16749836 20937295 33499672 41874590 66999344 71186803 83749180 142373606 167498360 284747212 297309589 334996720 355934015 569494424 594619178 711868030 1138988848 1189238356 1423736060 1486547945 2378476712 2847472120 2973095890 4756953424 5054263013 5694944240 5946191780 10108526026 11892383560 20217052052 23784767120 25271315065 40434104104 50542630130 80868208208 101085260260 202170520520 404341041040