482029774424640 has 560 divisors, whose sum is σ = 1847852444270448. Its totient is φ = 118570563403776.

The previous prime is 482029774424633. The next prime is 482029774424699. The reversal of 482029774424640 is 46424477920284.

482029774424640 is a `hidden beast` number, since 4 + 8 + 20 + 2 + 97 + 7 + 442 + 46 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82342993084416 + 399686781340224 = 9074304^2 + 19992168^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 482364544 + ... + 483362816.

Almost surely, 2^{482029774424640} is an apocalyptic number.

482029774424640 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 482029774424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923926222135224).

482029774424640 is an abundant number, since it is smaller than the sum of its proper divisors (1365822669845808).

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

482029774424640 is a wasteful number, since it uses less digits than its factorization.

482029774424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999748 (or 999729 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 482029774424640 in words is "four hundred eighty-two trillion, twenty-nine billion, seven hundred seventy-four million, four hundred twenty-four thousand, six hundred forty".