10004414413312 has 160 divisors (see below), whose sum is σ = 21907174101120. Its totient is φ = 4526497873920.

The previous prime is 10004414413289. The next prime is 10004414413327. The reversal of 10004414413312 is 21331441440001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2261904733 + ... + 2261909155.

It is an arithmetic number, because the mean of its divisors is an integer number (136919838132).

Almost surely, 2^{10004414413312} 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 10004414413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953587050560).

10004414413312 is an abundant number, since it is smaller than the sum of its proper divisors (11902759687808).

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

10004414413312 is a wasteful number, since it uses less digits than its factorization.

10004414413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10004414413312 its reverse (21331441440001), we get a palindrome (31335855853313).

The spelling of 10004414413312 in words is "ten trillion, four billion, four hundred fourteen million, four hundred thirteen thousand, three hundred twelve".