4872591210240 has 1872 divisors, whose sum is σ = 20530403258400. Its totient is φ = 1097098297344.

The previous prime is 4872591210233. The next prime is 4872591210301. The reversal of 4872591210240 is 420121952784.

4872591210240 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 591 + 2 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 168020386546 + ... + 168020386574.

Almost surely, 2^{4872591210240} is an apocalyptic number.

4872591210240 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 4872591210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265201629200).

4872591210240 is an abundant number, since it is smaller than the sum of its proper divisors (15657812048160).

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

4872591210240 is an frugal number, since it uses more digits than its factorization.

4872591210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4872591210240 in words is "four trillion, eight hundred seventy-two billion, five hundred ninety-one million, two hundred ten thousand, two hundred forty".