479936471040 has 1344 divisors, whose sum is σ = 1955331233856. Its totient is φ = 107810390016.

The previous prime is 479936471017. The next prime is 479936471059. The reversal of 479936471040 is 40174639974.

479936471040 is a `hidden beast` number, since 47 + 9 + 93 + 6 + 471 + 0 + 40 = 666.

It is a congruent number.

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, 3503185852 + ... + 3503185988.

It is an arithmetic number, because the mean of its divisors is an integer number (1454859549).

Almost surely, 2^479936471040 is an apocalyptic number.

479936471040 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 479936471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977665616928).

479936471040 is an abundant number, since it is smaller than the sum of its proper divisors (1475394762816).

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

479936471040 is a wasteful number, since it uses less digits than its factorization.

479936471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 479936471040 in words is "four hundred seventy-nine billion, nine hundred thirty-six million, four hundred seventy-one thousand, forty".