413048677282560 has 864 divisors, whose sum is σ = 1633976896301568. Its totient is φ = 95357314990080.

The previous prime is 413048677282463. The next prime is 413048677282589. The reversal of 413048677282560 is 65282776840314.

413048677282560 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 8 + 67 + 7 + 2 + 8 + 2 + 560 = 666.

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, 661292964 + ... + 661917276.

It is an arithmetic number, because the mean of its divisors is an integer number (1891176963312).

Almost surely, 2^{413048677282560} is an apocalyptic number.

413048677282560 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 413048677282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816988448150784).

413048677282560 is an abundant number, since it is smaller than the sum of its proper divisors (1220928219019008).

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

413048677282560 is a wasteful number, since it uses less digits than its factorization.

413048677282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624601 (or 624584 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 413048677282560 in words is "four hundred thirteen trillion, forty-eight billion, six hundred seventy-seven million, two hundred eighty-two thousand, five hundred sixty".