127430721964800 has 162 divisors, whose sum is σ = 455593591636092. Its totient is φ = 33981525841920.

The previous prime is 127430721964727. The next prime is 127430721964801. The reversal of 127430721964800 is 8469127034721.

127430721964800 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 3 + 0 + 72 + 1 + 96 + 480 + 0 = 666.

It is a super-2 number, since 2×127430721964800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127430721964801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106111862 + ... + 1106227061.

Almost surely, 2^{127430721964800} is an apocalyptic number.

127430721964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127430721964800 is an abundant number, since it is smaller than the sum of its proper divisors (328162869671292).

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

127430721964800 is a wasteful number, since it uses less digits than its factorization.

127430721964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212338955 (or 2212338933 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 127430721964800 in words is "one hundred twenty-seven trillion, four hundred thirty billion, seven hundred twenty-one million, nine hundred sixty-four thousand, eight hundred".