127416836304 has 240 divisors, whose sum is σ = 377125362432. Its totient is φ = 40079204352.

The previous prime is 127416836273. The next prime is 127416836311. The reversal of 127416836304 is 403638614721.

127416836304 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 1 + 6 + 8 + 3 + 630 + 4 = 666.

127416836304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 127416836304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196934509 + ... + 196935155.

Almost surely, 2^127416836304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127416836304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188562681216).

127416836304 is an abundant number, since it is smaller than the sum of its proper divisors (249708526128).

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

127416836304 is a wasteful number, since it uses less digits than its factorization.

127416836304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 127416836304 in words is "one hundred twenty-seven billion, four hundred sixteen million, eight hundred thirty-six thousand, three hundred four".