127444838400 has 1728 divisors, whose sum is σ = 561198456000. Its totient is φ = 28075622400.

The previous prime is 127444838359. The next prime is 127444838431. The reversal of 127444838400 is 4838444721.

127444838400 is a `hidden beast` number, since 127 + 4 + 4 + 483 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×127444838400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4394649586 + ... + 4394649614.

It is an arithmetic number, because the mean of its divisors is an integer number (324767625).

Almost surely, 2^127444838400 is an apocalyptic number.

127444838400 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 127444838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280599228000).

127444838400 is an abundant number, since it is smaller than the sum of its proper divisors (433753617600).

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

127444838400 is a wasteful number, since it uses less digits than its factorization.

127444838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 127444838400 in words is "one hundred twenty-seven billion, four hundred forty-four million, eight hundred thirty-eight thousand, four hundred".