127447313400 has 288 divisors, whose sum is σ = 472552254720. Its totient is φ = 30523680000.

The previous prime is 127447313377. The next prime is 127447313401. The reversal of 127447313400 is 4313744721.

127447313400 is a `hidden beast` number, since 1 + 274 + 47 + 3 + 1 + 340 + 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 not an unprimeable number, because it can be changed into a prime (127447313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1604625 + ... + 1682175.

It is an arithmetic number, because the mean of its divisors is an integer number (1640806440).

Almost surely, 2^127447313400 is an apocalyptic number.

127447313400 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 127447313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236276127360).

127447313400 is an abundant number, since it is smaller than the sum of its proper divisors (345104941320).

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

127447313400 is a wasteful number, since it uses less digits than its factorization.

127447313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77667 (or 77655 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 127447313400 in words is "one hundred twenty-seven billion, four hundred forty-seven million, three hundred thirteen thousand, four hundred".