481087957240800 has 5760 divisors, whose sum is σ = 2337348062649600. Its totient is φ = 93982532567040.

The previous prime is 481087957240769. The next prime is 481087957240801. The reversal of 481087957240800 is 8042759780184.

481087957240800 is a `hidden beast` number, since 4 + 8 + 10 + 8 + 7 + 9 + 572 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481087957240801) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1236729967006 + ... + 1236729967394.

It is an arithmetic number, because the mean of its divisors is an integer number (405789594210).

Almost surely, 2^{481087957240800} is an apocalyptic number.

481087957240800 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 481087957240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168674031324800).

481087957240800 is an abundant number, since it is smaller than the sum of its proper divisors (1856260105408800).

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

481087957240800 is a wasteful number, since it uses less digits than its factorization.

481087957240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 481087957240800 in words is "four hundred eighty-one trillion, eighty-seven billion, nine hundred fifty-seven million, two hundred forty thousand, eight hundred".