432101313840 has 480 divisors, whose sum is σ = 1596147215040. Its totient is φ = 96390217728.

The previous prime is 432101313827. The next prime is 432101313851. The reversal of 432101313840 is 48313101234.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 432101313798 and 432101313807.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83269966 + ... + 83275154.

It is an arithmetic number, because the mean of its divisors is an integer number (3325306698).

Almost surely, 2^432101313840 is an apocalyptic number.

432101313840 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 432101313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798073607520).

432101313840 is an abundant number, since it is smaller than the sum of its proper divisors (1164045901200).

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

432101313840 is a wasteful number, since it uses less digits than its factorization.

432101313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 432101313840 in words is "four hundred thirty-two billion, one hundred one million, three hundred thirteen thousand, eight hundred forty".