4958406144 has 80 divisors (see below), whose sum is σ = 14677267440. Its totient is φ = 1652797440.

The previous prime is 4958406127. The next prime is 4958406157. The reversal of 4958406144 is 4416048594.

4958406144 is a `hidden beast` number, since 4 + 9 + 584 + 0 + 61 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4958406144.

It is a congruent number.

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, 165517 + ... + 193164.

It is an arithmetic number, because the mean of its divisors is an integer number (183465843).

Almost surely, 2^4958406144 is an apocalyptic number.

It is an amenable number.

4958406144 is an abundant number, since it is smaller than the sum of its proper divisors (9718861296).

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

4958406144 is an equidigital number, since it uses as much as digits as its factorization.

4958406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358708 (or 358686 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4958406144 is about 70415.9509202283. The cubic root of 4958406144 is about 1705.2211045004.

The spelling of 4958406144 in words is "four billion, nine hundred fifty-eight million, four hundred six thousand, one hundred forty-four".