127314634400 has 72 divisors (see below), whose sum is σ = 311072332284. Its totient is φ = 50882355200.

The previous prime is 127314634399. The next prime is 127314634411. The reversal of 127314634400 is 4436413721.

It can be written as a sum of positive squares in 6 ways, for example, as 115488506896 + 11826127504 = 339836^2 + 108748^2 .

It is a super-2 number, since 2×127314634400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877424 + ... + 1012176.

Almost surely, 2^127314634400 is an apocalyptic number.

127314634400 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 127314634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155536166142).

127314634400 is an abundant number, since it is smaller than the sum of its proper divisors (183757697884).

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

127314634400 is a wasteful number, since it uses less digits than its factorization.

127314634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135954 (or 135941 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 127314634400 in words is "one hundred twenty-seven billion, three hundred fourteen million, six hundred thirty-four thousand, four hundred".