434040564111520 has 96 divisors (see below), whose sum is σ = 1037620731268800. Its totient is φ = 171559917957120.

The previous prime is 434040564111493. The next prime is 434040564111601. The reversal of 434040564111520 is 25111465040434.

It is a super-2 number, since 2×434040564111520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30279370 + ... + 42248329.

It is an arithmetic number, because the mean of its divisors is an integer number (10808549284050).

Almost surely, 2^{434040564111520} is an apocalyptic number.

434040564111520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434040564111520 is an abundant number, since it is smaller than the sum of its proper divisors (603580167157280).

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

434040564111520 is a wasteful number, since it uses less digits than its factorization.

434040564111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72528158 (or 72528150 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 434040564111520 in words is "four hundred thirty-four trillion, forty billion, five hundred sixty-four million, one hundred eleven thousand, five hundred twenty".