413063684272512 has 4096 divisors, whose sum is σ = 1709384269824000. Its totient is φ = 95058442321920.

The previous prime is 413063684272471. The next prime is 413063684272537. The reversal of 413063684272512 is 215272486360314.

413063684272512 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 6 + 368 + 4 + 27 + 251 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1009935658164 + ... + 1009935658572.

It is an arithmetic number, because the mean of its divisors is an integer number (417330144000).

Almost surely, 2^{413063684272512} is an apocalyptic number.

413063684272512 is a gapful number since it is divisible by the number (42) 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 413063684272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854692134912000).

413063684272512 is an abundant number, since it is smaller than the sum of its proper divisors (1296320585551488).

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

413063684272512 is a wasteful number, since it uses less digits than its factorization.

413063684272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 413063684272512 in words is "four hundred thirteen trillion, sixty-three billion, six hundred eighty-four million, two hundred seventy-two thousand, five hundred twelve".