4130906983164 has 240 divisors, whose sum is σ = 11833278441600. Its totient is φ = 1248822209664.

The previous prime is 4130906983117. The next prime is 4130906983207. The reversal of 4130906983164 is 4613896090314.

4130906983164 is a `hidden beast` number, since 41 + 309 + 0 + 69 + 83 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4130906983164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 630958539 + ... + 630965085.

It is an arithmetic number, because the mean of its divisors is an integer number (49305326840).

Almost surely, 2^{4130906983164} 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 4130906983164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916639220800).

4130906983164 is an abundant number, since it is smaller than the sum of its proper divisors (7702371458436).

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

4130906983164 is a wasteful number, since it uses less digits than its factorization.

4130906983164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4130906983164 in words is "four trillion, one hundred thirty billion, nine hundred six million, nine hundred eighty-three thousand, one hundred sixty-four".