432159276960 has 144 divisors (see below), whose sum is σ = 1474942525056. Its totient is φ = 115226924544.

The previous prime is 432159276959. The next prime is 432159276961. The reversal of 432159276960 is 69672951234.

432159276960 is a `hidden beast` number, since 43 + 2 + 1 + 592 + 7 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (432159276959) and next prime (432159276961).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 432159276897 and 432159276906.

It is not an unprimeable number, because it can be changed into a prime (432159276961) 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, 14049117 + ... + 14079843.

It is an arithmetic number, because the mean of its divisors is an integer number (10242656424).

Almost surely, 2^432159276960 is an apocalyptic number.

432159276960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432159276960 is an abundant number, since it is smaller than the sum of its proper divisors (1042783248096).

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

432159276960 is a wasteful number, since it uses less digits than its factorization.

432159276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40515 (or 40504 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 432159276960 in words is "four hundred thirty-two billion, one hundred fifty-nine million, two hundred seventy-six thousand, nine hundred sixty".