480056622144 has 224 divisors, whose sum is σ = 1468096119936. Its totient is φ = 136823930880.

The previous prime is 480056622131. The next prime is 480056622179. The reversal of 480056622144 is 441226650084.

480056622144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 480056622096 and 480056622105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69398974 + ... + 69405890.

Almost surely, 2^480056622144 is an apocalyptic number.

480056622144 is a gapful number since it is divisible by the number (44) 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 480056622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734048059968).

480056622144 is an abundant number, since it is smaller than the sum of its proper divisors (988039497792).

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

480056622144 is a wasteful number, since it uses less digits than its factorization.

480056622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 480056622144 in words is "four hundred eighty billion, fifty-six million, six hundred twenty-two thousand, one hundred forty-four".