4579152054400 has 384 divisors, whose sum is σ = 14558159646720. Its totient is φ = 1381224960000.

The previous prime is 4579152054383. The next prime is 4579152054427. The reversal of 4579152054400 is 44502519754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7338655 + ... + 7938145.

It is an arithmetic number, because the mean of its divisors is an integer number (37911874080).

Almost surely, 2^{4579152054400} is an apocalyptic number.

4579152054400 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 4579152054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279079823360).

4579152054400 is an abundant number, since it is smaller than the sum of its proper divisors (9979007592320).

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

4579152054400 is a wasteful number, since it uses less digits than its factorization.

4579152054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599564 (or 599547 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 4579152054400 in words is "four trillion, five hundred seventy-nine billion, one hundred fifty-two million, fifty-four thousand, four hundred".