432487123200 has 1296 divisors, whose sum is σ = 1785085538880. Its totient is φ = 102867148800.

The previous prime is 432487123177. The next prime is 432487123219. The reversal of 432487123200 is 2321784234.

It is a happy number.

432487123200 is a `hidden beast` number, since 4 + 32 + 487 + 123 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×432487123200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8160134374 + ... + 8160134426.

Almost surely, 2^432487123200 is an apocalyptic number.

432487123200 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 432487123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892542769440).

432487123200 is an abundant number, since it is smaller than the sum of its proper divisors (1352598415680).

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

432487123200 is an frugal number, since it uses more digits than its factorization.

432487123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 432487123200 in words is "four hundred thirty-two billion, four hundred eighty-seven million, one hundred twenty-three thousand, two hundred".