480377179440 has 120 divisors (see below), whose sum is σ = 1615469378640. Its totient is φ = 127925678592.

The previous prime is 480377179423. The next prime is 480377179453. The reversal of 480377179440 is 44971773084.

480377179440 is a `hidden beast` number, since 480 + 3 + 7 + 71 + 7 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 72651 + ... + 982869.

It is an arithmetic number, because the mean of its divisors is an integer number (13462244822).

Almost surely, 2^480377179440 is an apocalyptic number.

480377179440 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 480377179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807734689320).

480377179440 is an abundant number, since it is smaller than the sum of its proper divisors (1135092199200).

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

480377179440 is a wasteful number, since it uses less digits than its factorization.

480377179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910971 (or 910962 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 480377179440 in words is "four hundred eighty billion, three hundred seventy-seven million, one hundred seventy-nine thousand, four hundred forty".