481264558382480 has 80 divisors (see below), whose sum is σ = 1125903769136064. Its totient is φ = 191307980183040.

The previous prime is 481264558382479. The next prime is 481264558382519. The reversal of 481264558382480 is 84283855462184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 481264558382480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147182282 + ... + 150416598.

Almost surely, 2^{481264558382480} is an apocalyptic number.

481264558382480 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 481264558382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562951884568032).

481264558382480 is an abundant number, since it is smaller than the sum of its proper divisors (644639210753584).

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

481264558382480 is a wasteful number, since it uses less digits than its factorization.

481264558382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245904 (or 3245898 counting only the distinct ones).

The product of its (nonzero) digits is 471859200, while the sum is 68.

The spelling of 481264558382480 in words is "four hundred eighty-one trillion, two hundred sixty-four billion, five hundred fifty-eight million, three hundred eighty-two thousand, four hundred eighty".