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4041416437040 = 24559984336737
BaseRepresentation
bin111010110011110111001…
…100001110110100110000
3112022100121021000200202202
4322303313030032310300
51012203310101441130
612332333500002332
7564661031626013
oct72636714166460
915270537020682
104041416437040
111318a56245834
125533062303a8
13234147463208
14dd869a9b37a
15701d6ed2145
hex3acf730ed30

4041416437040 has 40 divisors (see below), whose sum is σ = 9411979960800. Its totient is φ = 1613867780096.

The previous prime is 4041416437001. The next prime is 4041416437057. The reversal of 4041416437040 is 407346141404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4041416436985 and 4041416437003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42120449 + ... + 42216288.

It is an arithmetic number, because the mean of its divisors is an integer number (235299499020).

Almost surely, 24041416437040 is an apocalyptic number.

4041416437040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4041416437040 is an abundant number, since it is smaller than the sum of its proper divisors (5370563523760).

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

4041416437040 is a wasteful number, since it uses less digits than its factorization.

4041416437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84337349 (or 84337343 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 4041416437040 in words is "four trillion, forty-one billion, four hundred sixteen million, four hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 599 1198 2396 2995 4792 5990 9584 11980 23960 47920 84336737 168673474 337346948 421683685 674693896 843367370 1349387792 1686734740 3373469480 6746938960 50517705463 101035410926 202070821852 252588527315 404141643704 505177054630 808283287408 1010354109260 2020708218520 4041416437040