481100330880 has 576 divisors, whose sum is σ = 1805812304400. Its totient is φ = 117971582976.

The previous prime is 481100330873. The next prime is 481100330951. The reversal of 481100330880 is 88033001184.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304685931 + ... + 304687509.

Almost surely, 2^481100330880 is an apocalyptic number.

481100330880 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 481100330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902906152200).

481100330880 is an abundant number, since it is smaller than the sum of its proper divisors (1324711973520).

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

481100330880 is a wasteful number, since it uses less digits than its factorization.

481100330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 481100330880 in words is "four hundred eighty-one billion, one hundred million, three hundred thirty thousand, eight hundred eighty".