432231666048000 has 4224 divisors, whose sum is σ = 2014226493726720. Its totient is φ = 89995168972800.

The previous prime is 432231666047981. The next prime is 432231666048011. The reversal of 432231666048000 is 840666132234.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 223606655034 + ... + 223606656966.

Almost surely, 2^{432231666048000} is an apocalyptic number.

432231666048000 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 432231666048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007113246863360).

432231666048000 is an abundant number, since it is smaller than the sum of its proper divisors (1581994827678720).

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

432231666048000 is a wasteful number, since it uses less digits than its factorization.

432231666048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 432231666048000 in words is "four hundred thirty-two trillion, two hundred thirty-one billion, six hundred sixty-six million, forty-eight thousand".