127006704400 has 135 divisors (see below), whose sum is σ = 309916194879. Its totient is φ = 50018645760.

The previous prime is 127006704397. The next prime is 127006704401. The reversal of 127006704400 is 4407600721.

The square root of 127006704400 is 356380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13981643536 + 113025060864 = 118244^2 + 336192^2 .

It is a super-2 number, since 2×127006704400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127006704401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 734142714 + ... + 734142886.

Almost surely, 2^127006704400 is an apocalyptic number.

127006704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127006704400 is the 356380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127006704400

127006704400 is an abundant number, since it is smaller than the sum of its proper divisors (182909490479).

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

127006704400 is an equidigital number, since it uses as much as digits as its factorization.

127006704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 127006704400 in words is "one hundred twenty-seven billion, six million, seven hundred four thousand, four hundred".