4113091298304 has 352 divisors, whose sum is σ = 12775504515840. Its totient is φ = 1304723718144.

The previous prime is 4113091298263. The next prime is 4113091298317. The reversal of 4113091298304 is 4038921903114.

4113091298304 is a `hidden beast` number, since 4 + 11 + 309 + 1 + 29 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4113091298304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125256672 + ... + 125289504.

It is an arithmetic number, because the mean of its divisors is an integer number (36294046920).

Almost surely, 2^{4113091298304} 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 4113091298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387752257920).

4113091298304 is an abundant number, since it is smaller than the sum of its proper divisors (8662413217536).

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

4113091298304 is a wasteful number, since it uses less digits than its factorization.

4113091298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33082 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 4113091298304 in words is "four trillion, one hundred thirteen billion, ninety-one million, two hundred ninety-eight thousand, three hundred four".