432303959934840 has 256 divisors, whose sum is σ = 1485262231326720. Its totient is φ = 98607268546560.

The previous prime is 432303959934823. The next prime is 432303959934863. The reversal of 432303959934840 is 48439959303234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2041693057 + ... + 2041904783.

It is an arithmetic number, because the mean of its divisors is an integer number (5801805591120).

Almost surely, 2^{432303959934840} is an apocalyptic number.

432303959934840 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 432303959934840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742631115663360).

432303959934840 is an abundant number, since it is smaller than the sum of its proper divisors (1052958271391880).

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

432303959934840 is a wasteful number, since it uses less digits than its factorization.

432303959934840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216782 (or 216778 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 66.

The spelling of 432303959934840 in words is "four hundred thirty-two trillion, three hundred three billion, nine hundred fifty-nine million, nine hundred thirty-four thousand, eight hundred forty".