432585970401 has 64 divisors (see below), whose sum is σ = 662753581056. Its totient is φ = 248621184000.

The previous prime is 432585970393. The next prime is 432585970463. The reversal of 432585970401 is 104079585234.

It is not a de Polignac number, because 432585970401 - 2³ = 432585970393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432585970301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129244210 + ... + 129247556.

It is an arithmetic number, because the mean of its divisors is an integer number (10355524704).

Almost surely, 2^432585970401 is an apocalyptic number.

It is an amenable number.

432585970401 is a deficient number, since it is larger than the sum of its proper divisors (230167610655).

432585970401 is a wasteful number, since it uses less digits than its factorization.

432585970401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 432585970401 in words is "four hundred thirty-two billion, five hundred eighty-five million, nine hundred seventy thousand, four hundred one".