127074924144 has 400 divisors, whose sum is σ = 441016773120. Its totient is φ = 34556336640.

The previous prime is 127074924121. The next prime is 127074924181. The reversal of 127074924144 is 441429470721.

127074924144 is a `hidden beast` number, since 12 + 7 + 0 + 7 + 492 + 4 + 144 = 666.

It is a super-2 number, since 2×127074924144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127074924144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18675847 + ... + 18682649.

Almost surely, 2^127074924144 is an apocalyptic number.

127074924144 is a gapful number since it is divisible by the number (14) 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 127074924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220508386560).

127074924144 is an abundant number, since it is smaller than the sum of its proper divisors (313941848976).

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

127074924144 is a wasteful number, since it uses less digits than its factorization.

127074924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 127074924144 in words is "one hundred twenty-seven billion, seventy-four million, nine hundred twenty-four thousand, one hundred forty-four".