127331366400 has 360 divisors, whose sum is σ = 520784797104. Its totient is φ = 29104128000.

The previous prime is 127331366399. The next prime is 127331366429. The reversal of 127331366400 is 4663133721.

127331366400 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 3 + 1 + 3 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 727450 + ... + 885350.

Almost surely, 2^127331366400 is an apocalyptic number.

127331366400 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 127331366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260392398552).

127331366400 is an abundant number, since it is smaller than the sum of its proper divisors (393453430704).

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

127331366400 is a wasteful number, since it uses less digits than its factorization.

127331366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157942 (or 157918 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 127331366400 in words is "one hundred twenty-seven billion, three hundred thirty-one million, three hundred sixty-six thousand, four hundred".