432864878880 has 576 divisors, whose sum is σ = 1636348718592. Its totient is φ = 95851929600.

The previous prime is 432864878879. The next prime is 432864878881. The reversal of 432864878880 is 88878468234.

It is an interprime number because it is at equal distance from previous prime (432864878879) and next prime (432864878881).

It is not an unprimeable number, because it can be changed into a prime (432864878881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111647502 + ... + 111651378.

It is an arithmetic number, because the mean of its divisors is an integer number (2840883192).

Almost surely, 2^432864878880 is an apocalyptic number.

432864878880 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 432864878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818174359296).

432864878880 is an abundant number, since it is smaller than the sum of its proper divisors (1203483839712).

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

432864878880 is a wasteful number, since it uses less digits than its factorization.

432864878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 66.

The spelling of 432864878880 in words is "four hundred thirty-two billion, eight hundred sixty-four million, eight hundred seventy-eight thousand, eight hundred eighty".