479816663040 has 1920 divisors, whose sum is σ = 2108580042240. Its totient is φ = 101921587200.

The previous prime is 479816663009. The next prime is 479816663041. The reversal of 479816663040 is 40366618974.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479816663041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11702845420 + ... + 11702845460.

It is an arithmetic number, because the mean of its divisors is an integer number (1098218772).

Almost surely, 2^479816663040 is an apocalyptic number.

479816663040 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 479816663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054290021120).

479816663040 is an abundant number, since it is smaller than the sum of its proper divisors (1628763379200).

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

479816663040 is a wasteful number, since it uses less digits than its factorization.

479816663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 479816663040 in words is "four hundred seventy-nine billion, eight hundred sixteen million, six hundred sixty-three thousand, forty".