432125553420 has 576 divisors, whose sum is σ = 1581147509760. Its totient is φ = 94294886400.

The previous prime is 432125553371. The next prime is 432125553499. The reversal of 432125553420 is 24355521234.

432125553420 is a `hidden beast` number, since 43 + 2 + 1 + 25 + 553 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135844230 + ... + 135847410.

It is an arithmetic number, because the mean of its divisors is an integer number (2745047760).

Almost surely, 2^432125553420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432125553420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790573754880).

432125553420 is an abundant number, since it is smaller than the sum of its proper divisors (1149021956340).

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

432125553420 is a wasteful number, since it uses less digits than its factorization.

432125553420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 432125553420 in words is "four hundred thirty-two billion, one hundred twenty-five million, five hundred fifty-three thousand, four hundred twenty".