1004177888672 has 48 divisors (see below), whose sum is σ = 2273261683392. Its totient is φ = 427721679360.

The previous prime is 1004177888641. The next prime is 1004177888723. The reversal of 1004177888672 is 2768887714001.

It is a happy number.

1004177888672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1004177888672³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13714829 + ... + 13787852.

It is an arithmetic number, because the mean of its divisors is an integer number (47359618404).

Almost surely, 2^{1004177888672} is an apocalyptic number.

It is an amenable number.

1004177888672 is an abundant number, since it is smaller than the sum of its proper divisors (1269083794720).

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

1004177888672 is a wasteful number, since it uses less digits than its factorization.

1004177888672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27502861 (or 27502853 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 59.

The spelling of 1004177888672 in words is "one trillion, four billion, one hundred seventy-seven million, eight hundred eighty-eight thousand, six hundred seventy-two".