4872259413504 has 800 divisors, whose sum is σ = 17667323790336. Its totient is φ = 1304994447360.

The previous prime is 4872259413481. The next prime is 4872259413517. The reversal of 4872259413504 is 4053149522784.

It is a happy number.

4872259413504 is a `hidden beast` number, since 4 + 8 + 72 + 2 + 59 + 4 + 13 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1337428707 + ... + 1337432349.

Almost surely, 2^{4872259413504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872259413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833661895168).

4872259413504 is an abundant number, since it is smaller than the sum of its proper divisors (12795064376832).

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

4872259413504 is a wasteful number, since it uses less digits than its factorization.

4872259413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4872259413504 in words is "four trillion, eight hundred seventy-two billion, two hundred fifty-nine million, four hundred thirteen thousand, five hundred four".