127552743014400 has 2520 divisors, whose sum is σ = 531643683293184. Its totient is φ = 29964946636800.

The previous prime is 127552743014341. The next prime is 127552743014483. The reversal of 127552743014400 is 4410347255721.

127552743014400 is a `hidden beast` number, since 1 + 2 + 7 + 55 + 27 + 430 + 144 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1004352307137 + ... + 1004352307263.

Almost surely, 2^{127552743014400} is an apocalyptic number.

127552743014400 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 127552743014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265821841646592).

127552743014400 is an abundant number, since it is smaller than the sum of its proper divisors (404090940278784).

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

127552743014400 is an frugal number, since it uses more digits than its factorization.

127552743014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 127552743014400 in words is "one hundred twenty-seven trillion, five hundred fifty-two billion, seven hundred forty-three million, fourteen thousand, four hundred".