4742952458400 has 1296 divisors, whose sum is σ = 18912894934752. Its totient is φ = 1111557427200.

The previous prime is 4742952458399. The next prime is 4742952458411. The reversal of 4742952458400 is 48542592474.

4742952458400 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 9 + 52 + 4 + 584 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6026622807 + ... + 6026623593.

Almost surely, 2^{4742952458400} is an apocalyptic number.

4742952458400 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 4742952458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456447467376).

4742952458400 is an abundant number, since it is smaller than the sum of its proper divisors (14169942476352).

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

4742952458400 is a wasteful number, since it uses less digits than its factorization.

4742952458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 4742952458400 in words is "four trillion, seven hundred forty-two billion, nine hundred fifty-two million, four hundred fifty-eight thousand, four hundred".