432460597640160 has 768 divisors, whose sum is σ = 1432630787309568. Its totient is φ = 109520590233600.

The previous prime is 432460597640101. The next prime is 432460597640173. The reversal of 432460597640160 is 61046795064234.

It is a super-2 number, since 2×432460597640160² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432460597640160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325893441417 + ... + 325893442743.

It is an arithmetic number, because the mean of its divisors is an integer number (1865404670976).

Almost surely, 2^{432460597640160} is an apocalyptic number.

432460597640160 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 432460597640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716315393654784).

432460597640160 is an abundant number, since it is smaller than the sum of its proper divisors (1000170189669408).

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

432460597640160 is a wasteful number, since it uses less digits than its factorization.

432460597640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 432460597640160 in words is "four hundred thirty-two trillion, four hundred sixty billion, five hundred ninety-seven million, six hundred forty thousand, one hundred sixty".