4958433792000 has 2080 divisors, whose sum is σ = 21117705152544. Its totient is φ = 1146617856000.

The previous prime is 4958433791897. The next prime is 4958433792049. The reversal of 4958433792000 is 2973348594.

4958433792000 is a `hidden beast` number, since 4 + 9 + 584 + 3 + 37 + 9 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3928387424256 + 1030046367744 = 1982016^2 + 1014912^2 .

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9165311730 + ... + 9165312270.

Almost surely, 2^{4958433792000} is an apocalyptic number.

4958433792000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4958433792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558852576272).

4958433792000 is an abundant number, since it is smaller than the sum of its proper divisors (16159271360544).

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

4958433792000 is a wasteful number, since it uses less digits than its factorization.

4958433792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4958433792000 in words is "four trillion, nine hundred fifty-eight billion, four hundred thirty-three million, seven hundred ninety-two thousand".