432428624390400 has 432 divisors, whose sum is σ = 1560218774482368. Its totient is φ = 104603758592000.

The previous prime is 432428624390393. The next prime is 432428624390419. The reversal of 432428624390400 is 4093426824234.

It is a super-2 number, since 2×432428624390400² (a number of 30 digits) contains 22 as substring.

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, 95142502 + ... + 99583898.

It is an arithmetic number, because the mean of its divisors is an integer number (3611617533524).

Almost surely, 2^{432428624390400} is an apocalyptic number.

432428624390400 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 432428624390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780109387241184).

432428624390400 is an abundant number, since it is smaller than the sum of its proper divisors (1127790150091968).

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

432428624390400 is a wasteful number, since it uses less digits than its factorization.

432428624390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441898 (or 4441879 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 432428624390400 in words is "four hundred thirty-two trillion, four hundred twenty-eight billion, six hundred twenty-four million, three hundred ninety thousand, four hundred".