4113414460521 has 32 divisors (see below), whose sum is σ = 6304257907200. Its totient is φ = 2647641790080.

The previous prime is 4113414460481. The next prime is 4113414460559. The reversal of 4113414460521 is 1250644143114.

4113414460521 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 4 + 1 + 44 + 605 + 2 + 1 = 666.

It is not a de Polignac number, because 4113414460521 - 2¹⁴ = 4113414444137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4113414440521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52615341 + ... + 52693461.

It is an arithmetic number, because the mean of its divisors is an integer number (197008059600).

Almost surely, 2^{4113414460521} is an apocalyptic number.

It is an amenable number.

4113414460521 is a deficient number, since it is larger than the sum of its proper divisors (2190843446679).

4113414460521 is a wasteful number, since it uses less digits than its factorization.

4113414460521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145406 (or 145400 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4113414460521 in words is "four trillion, one hundred thirteen billion, four hundred fourteen million, four hundred sixty thousand, five hundred twenty-one".