32125144350420 has 144 divisors (see below), whose sum is σ = 110926980807552. Its totient is φ = 7449308824320.

The previous prime is 32125144350413. The next prime is 32125144350433. The reversal of 32125144350420 is 2405344152123.

It is a happy number.

32125144350420 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 5 + 144 + 3 + 504 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352667947 + ... + 352759026.

It is an arithmetic number, because the mean of its divisors is an integer number (770326255608).

Almost surely, 2^{32125144350420} is an apocalyptic number.

32125144350420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32125144350420 is an abundant number, since it is smaller than the sum of its proper divisors (78801836457132).

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

32125144350420 is a wasteful number, since it uses less digits than its factorization.

32125144350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705427022 (or 705427017 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 32125144350420 in words is "thirty-two trillion, one hundred twenty-five billion, one hundred forty-four million, three hundred fifty thousand, four hundred twenty".