479716823040 has 832 divisors, whose sum is σ = 1902304051200. Its totient is φ = 100510728192.

The previous prime is 479716823009. The next prime is 479716823057. The reversal of 479716823040 is 40328617974.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1336258381 + ... + 1336258739.

Almost surely, 2^479716823040 is an apocalyptic number.

479716823040 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 479716823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951152025600).

479716823040 is an abundant number, since it is smaller than the sum of its proper divisors (1422587228160).

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

479716823040 is a wasteful number, since it uses less digits than its factorization.

479716823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 479716823040 in words is "four hundred seventy-nine billion, seven hundred sixteen million, eight hundred twenty-three thousand, forty".