4591248998400 has 1197 divisors, whose sum is σ = 17640065506053. Its totient is φ = 1184838451200.

The previous prime is 4591248998377. The next prime is 4591248998417. The reversal of 4591248998400 is 48998421954.

The square root of 4591248998400 is 2142720.

It is a perfect power (a square), and thus also a powerful number.

4591248998400 is a `hidden beast` number, since 4 + 59 + 12 + 4 + 89 + 98 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1652849639424 + 2938399358976 = 1285632^2 + 1714176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 148104806385 + ... + 148104806415.

Almost surely, 2^{4591248998400} is an apocalyptic number.

4591248998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4591248998400 is the 2142720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4591248998400

4591248998400 is an abundant number, since it is smaller than the sum of its proper divisors (13048816507653).

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

4591248998400 is an frugal number, since it uses more digits than its factorization.

4591248998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 4591248998400 in words is "four trillion, five hundred ninety-one billion, two hundred forty-eight million, nine hundred ninety-eight thousand, four hundred".