432534053952 has 2240 divisors, whose sum is σ = 1873662658560. Its totient is φ = 94954291200.

The previous prime is 432534053929. The next prime is 432534053957. The reversal of 432534053952 is 259350435234.

432534053952 is a `hidden beast` number, since 4 + 3 + 25 + 3 + 40 + 539 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 432534053898 and 432534053907.

It is not an unprimeable number, because it can be changed into a prime (432534053957) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4042374283 + ... + 4042374389.

It is an arithmetic number, because the mean of its divisors is an integer number (836456544).

Almost surely, 2^432534053952 is an apocalyptic number.

432534053952 is a gapful number since it is divisible by the number (42) 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 432534053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936831329280).

432534053952 is an abundant number, since it is smaller than the sum of its proper divisors (1441128604608).

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

432534053952 is a wasteful number, since it uses less digits than its factorization.

432534053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 432534053952 in words is "four hundred thirty-two billion, five hundred thirty-four million, fifty-three thousand, nine hundred fifty-two".