481340890944 has 336 divisors, whose sum is σ = 1446929003520. Its totient is φ = 152836346880.

The previous prime is 481340890907. The next prime is 481340890951. The reversal of 481340890944 is 449098043184.

481340890944 is a `hidden beast` number, since 481 + 3 + 40 + 89 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×481340890944² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441191839 + ... + 441192929.

It is an arithmetic number, because the mean of its divisors is an integer number (4306336320).

Almost surely, 2^481340890944 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 481340890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723464501760).

481340890944 is an abundant number, since it is smaller than the sum of its proper divisors (965588112576).

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

481340890944 is a wasteful number, since it uses less digits than its factorization.

481340890944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 481340890944 in words is "four hundred eighty-one billion, three hundred forty million, eight hundred ninety thousand, nine hundred forty-four".