4013652994560 has 480 divisors, whose sum is σ = 15314319820800. Its totient is φ = 963366912000.

The previous prime is 4013652994543. The next prime is 4013652994579. The reversal of 4013652994560 is 654992563104.

4013652994560 is a `hidden beast` number, since 4 + 0 + 13 + 6 + 529 + 9 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4013652994560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013652994497 and 4013652994506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25519041 + ... + 25675839.

It is an arithmetic number, because the mean of its divisors is an integer number (31904832960).

Almost surely, 2^{4013652994560} is an apocalyptic number.

4013652994560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013652994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657159910400).

4013652994560 is an abundant number, since it is smaller than the sum of its proper divisors (11300666826240).

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

4013652994560 is a wasteful number, since it uses less digits than its factorization.

4013652994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156940 (or 156921 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 4013652994560 in words is "four trillion, thirteen billion, six hundred fifty-two million, nine hundred ninety-four thousand, five hundred sixty".