432671232000 has 416 divisors, whose sum is σ = 1645474132224. Its totient is φ = 98893824000.

The previous prime is 432671231989. The next prime is 432671232011. The reversal of 432671232000 is 232176234.

It is an interprime number because it is at equal distance from previous prime (432671231989) and next prime (432671232011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10731880 + ... + 10772120.

It is an arithmetic number, because the mean of its divisors is an integer number (3955466664).

Almost surely, 2^432671232000 is an apocalyptic number.

432671232000 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 432671232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822737066112).

432671232000 is an abundant number, since it is smaller than the sum of its proper divisors (1212802900224).

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

432671232000 is an equidigital number, since it uses as much as digits as its factorization.

432671232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40290 (or 40258 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 432671232000 in words is "four hundred thirty-two billion, six hundred seventy-one million, two hundred thirty-two thousand".