432965982240 has 240 divisors, whose sum is σ = 1666919580480. Its totient is φ = 104961415680.

The previous prime is 432965982227. The next prime is 432965982257. The reversal of 432965982240 is 42289569234.

432965982240 is a `hidden beast` number, since 4 + 3 + 2 + 9 + 6 + 598 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1375980 + ... + 1661099.

It is an arithmetic number, because the mean of its divisors is an integer number (6945498252).

Almost surely, 2^432965982240 is an apocalyptic number.

432965982240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432965982240 is an abundant number, since it is smaller than the sum of its proper divisors (1233953598240).

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

432965982240 is a wasteful number, since it uses less digits than its factorization.

432965982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037117 (or 3037100 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 432965982240 in words is "four hundred thirty-two billion, nine hundred sixty-five million, nine hundred eighty-two thousand, two hundred forty".