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404002420440 = 23357274630931
BaseRepresentation
bin1011110000100000110…
…10111011011011011000
31102121210121211101122220
411320100122323123120
523104344104423230
6505332433544040
741121361625163
oct5702032733330
91377717741586
10404002420440
1114637791a093
126636b715020
132c1358c9668
14157a7986ada
15a797e9ad10
hex5e106bb6d8

404002420440 has 64 divisors (see below), whose sum is σ = 1213674658560. Its totient is φ = 107585765760.

The previous prime is 404002420427. The next prime is 404002420447. The reversal of 404002420440 is 44024200404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404002420440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404002420447) 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, 2228226 + ... + 2402705.

It is an arithmetic number, because the mean of its divisors is an integer number (18963666540).

Almost surely, 2404002420440 is an apocalyptic number.

404002420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404002420440 is an abundant number, since it is smaller than the sum of its proper divisors (809672238120).

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

404002420440 is a wasteful number, since it uses less digits than its factorization.

404002420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631672 (or 4631668 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404002420440 its reverse (44024200404), we get a palindrome (448026620844).

The spelling of 404002420440 in words is "four hundred four billion, two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 14540 17448 21810 29080 43620 87240 4630931 9261862 13892793 18523724 23154655 27785586 37047448 46309310 55571172 69463965 92618620 111142344 138927930 185237240 277855860 555711720 3366686837 6733373674 10100060511 13466747348 16833434185 20200121022 26933494696 33666868370 40400242044 50500302555 67333736740 80800484088 101000605110 134667473480 202001210220 404002420440