432399536640 has 240 divisors, whose sum is σ = 1514354470200. Its totient is φ = 114010423296.

The previous prime is 432399536633. The next prime is 432399536663. The reversal of 432399536640 is 46635993234.

432399536640 is a `hidden beast` number, since 4 + 3 + 239 + 9 + 5 + 366 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375190550784 + 57208985856 = 612528^2 + 239184^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945126 + ... + 2155994.

Almost surely, 2^432399536640 is an apocalyptic number.

432399536640 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 432399536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757177235100).

432399536640 is an abundant number, since it is smaller than the sum of its proper divisors (1081954933560).

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

432399536640 is a wasteful number, since it uses less digits than its factorization.

432399536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210987 (or 210968 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 432399536640 in words is "four hundred thirty-two billion, three hundred ninety-nine million, five hundred thirty-six thousand, six hundred forty".