432860628480 has 320 divisors, whose sum is σ = 1632509227008. Its totient is φ = 95747604480.

The previous prime is 432860628413. The next prime is 432860628493. The reversal of 432860628480 is 84826068234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×432860628480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1536694 + ... + 1796426.

Almost surely, 2^432860628480 is an apocalyptic number.

432860628480 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 432860628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816254613504).

432860628480 is an abundant number, since it is smaller than the sum of its proper divisors (1199648598528).

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

432860628480 is a wasteful number, since it uses less digits than its factorization.

432860628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259797 (or 259781 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 432860628480 in words is "four hundred thirty-two billion, eight hundred sixty million, six hundred twenty-eight thousand, four hundred eighty".