127413977328400 has 135 divisors (see below), whose sum is σ = 356093979627189. Its totient is φ = 43684250413440.

The previous prime is 127413977328397. The next prime is 127413977328401. The reversal of 127413977328400 is 4823779314721.

The square root of 127413977328400 is 11287780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45869031838224 + 81544945490176 = 6772668^2 + 9030224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127413977328401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1580248887 + ... + 1580329513.

Almost surely, 2^{127413977328400} is an apocalyptic number.

127413977328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127413977328400 is the 11287780-th square number.

It is an amenable number.

127413977328400 is an abundant number, since it is smaller than the sum of its proper divisors (228680002298789).

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

127413977328400 is an frugal number, since it uses more digits than its factorization.

127413977328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161286 (or 80641 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 127413977328400 in words is "one hundred twenty-seven trillion, four hundred thirteen billion, nine hundred seventy-seven million, three hundred twenty-eight thousand, four hundred".