481264662531840 has 288 divisors, whose sum is σ = 1676868660230400. Its totient is φ = 116663344988160.

The previous prime is 481264662531827. The next prime is 481264662531841. The reversal of 481264662531840 is 48135266462184.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481264662531841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735451516 + ... + 736105604.

It is an arithmetic number, because the mean of its divisors is an integer number (5822460625800).

Almost surely, 2^{481264662531840} is an apocalyptic number.

481264662531840 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 481264662531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838434330115200).

481264662531840 is an abundant number, since it is smaller than the sum of its proper divisors (1195603997698560).

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

481264662531840 is a wasteful number, since it uses less digits than its factorization.

481264662531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671543 (or 671529 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 481264662531840 in words is "four hundred eighty-one trillion, two hundred sixty-four billion, six hundred sixty-two million, five hundred thirty-one thousand, eight hundred forty".