120457170400 has 432 divisors, whose sum is σ = 358179325056. Its totient is φ = 39400058880.

The previous prime is 120457170367. The next prime is 120457170443. The reversal of 120457170400 is 4071754021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76870417 + ... + 76871983.

It is an arithmetic number, because the mean of its divisors is an integer number (829118808).

Almost surely, 2^120457170400 is an apocalyptic number.

120457170400 is a gapful number since it is divisible by the number (10) 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 120457170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179089662528).

120457170400 is an abundant number, since it is smaller than the sum of its proper divisors (237722154656).

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

120457170400 is a wasteful number, since it uses less digits than its factorization.

120457170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 120457170400 in words is "one hundred twenty billion, four hundred fifty-seven million, one hundred seventy thousand, four hundred".