480440044480 has 168 divisors, whose sum is σ = 1260468578880. Its totient is φ = 174294067200.

The previous prime is 480440044471. The next prime is 480440044519. The reversal of 480440044480 is 84440044084.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16673926 + ... + 16702714.

It is an arithmetic number, because the mean of its divisors is an integer number (7502789160).

Almost surely, 2^480440044480 is an apocalyptic number.

480440044480 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 480440044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630234289440).

480440044480 is an abundant number, since it is smaller than the sum of its proper divisors (780028534400).

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

480440044480 is a wasteful number, since it uses less digits than its factorization.

480440044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29259 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 480440044480 in words is "four hundred eighty billion, four hundred forty million, forty-four thousand, four hundred eighty".