481070715840 has 2688 divisors, whose sum is σ = 2233827993600. Its totient is φ = 97552097280.

The previous prime is 481070715799. The next prime is 481070715857. The reversal of 481070715840 is 48517070184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20916118069 + ... + 20916118091.

It is an arithmetic number, because the mean of its divisors is an integer number (831037200).

Almost surely, 2^481070715840 is an apocalyptic number.

481070715840 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 481070715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116913996800).

481070715840 is an abundant number, since it is smaller than the sum of its proper divisors (1752757277760).

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

481070715840 is a wasteful number, since it uses less digits than its factorization.

481070715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 481070715840 in words is "four hundred eighty-one billion, seventy million, seven hundred fifteen thousand, eight hundred forty".