4958792238400 has 1512 divisors, whose sum is σ = 17110543542624. Its totient is φ = 1390207795200.

The previous prime is 4958792238391. The next prime is 4958792238497. The reversal of 4958792238400 is 48322978594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 59744484759 + ... + 59744484841.

It is an arithmetic number, because the mean of its divisors is an integer number (11316497052).

Almost surely, 2^{4958792238400} is an apocalyptic number.

4958792238400 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 4958792238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555271771312).

4958792238400 is an abundant number, since it is smaller than the sum of its proper divisors (12151751304224).

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

4958792238400 is a wasteful number, since it uses less digits than its factorization.

4958792238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 4958792238400 in words is "four trillion, nine hundred fifty-eight billion, seven hundred ninety-two million, two hundred thirty-eight thousand, four hundred".