481393342080 has 768 divisors, whose sum is σ = 2008062576000. Its totient is φ = 110017087488.

The previous prime is 481393342063. The next prime is 481393342109. The reversal of 481393342080 is 80243393184.

481393342080 is a `hidden beast` number, since 4 + 81 + 39 + 334 + 208 + 0 = 666.

481393342080 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68580811 + ... + 68587829.

Almost surely, 2^481393342080 is an apocalyptic number.

481393342080 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 481393342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004031288000).

481393342080 is an abundant number, since it is smaller than the sum of its proper divisors (1526669233920).

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

481393342080 is an frugal number, since it uses more digits than its factorization.

481393342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 481393342080 in words is "four hundred eighty-one billion, three hundred ninety-three million, three hundred forty-two thousand, eighty".