432129809280 has 192 divisors, whose sum is σ = 1491520169520. Its totient is φ = 106370334720.

The previous prime is 432129809273. The next prime is 432129809281. The reversal of 432129809280 is 82908921234.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432129809281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341401 + ... + 990360.

Almost surely, 2^432129809280 is an apocalyptic number.

432129809280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432129809280 is an abundant number, since it is smaller than the sum of its proper divisors (1059390360240).

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

432129809280 is a wasteful number, since it uses less digits than its factorization.

432129809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331809 (or 1331784 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 432129809280 in words is "four hundred thirty-two billion, one hundred twenty-nine million, eight hundred nine thousand, two hundred eighty".