480566751218400 has 1152 divisors, whose sum is σ = 1987698801134592. Its totient is φ = 97940643840000.

The previous prime is 480566751218369. The next prime is 480566751218483. The reversal of 480566751218400 is 4812157665084.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37424395980 + ... + 37424408820.

It is an arithmetic number, because the mean of its divisors is an integer number (1725432987096).

Almost surely, 2^{480566751218400} is an apocalyptic number.

480566751218400 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 480566751218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993849400567296).

480566751218400 is an abundant number, since it is smaller than the sum of its proper divisors (1507132049916192).

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

480566751218400 is a wasteful number, since it uses less digits than its factorization.

480566751218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16756 (or 16743 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 480566751218400 in words is "four hundred eighty trillion, five hundred sixty-six billion, seven hundred fifty-one million, two hundred eighteen thousand, four hundred".