413762241156264 has 6912 divisors, whose sum is σ = 1802450797056000. Its totient is φ = 87634300723200.

The previous prime is 413762241156259. The next prime is 413762241156337. The reversal of 413762241156264 is 462651142267314.

413762241156264 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 6 + 2 + 2 + 4 + 1 + 1 + 5 + 626 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413762241156264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 4649013945532 + ... + 4649013945620.

It is an arithmetic number, because the mean of its divisors is an integer number (260771238000).

Almost surely, 2^{413762241156264} is an apocalyptic number.

413762241156264 is a gapful number since it is divisible by the number (44) 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 413762241156264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901225398528000).

413762241156264 is an abundant number, since it is smaller than the sum of its proper divisors (1388688555899736).

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

413762241156264 is a wasteful number, since it uses less digits than its factorization.

413762241156264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

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

The spelling of 413762241156264 in words is "four hundred thirteen trillion, seven hundred sixty-two billion, two hundred forty-one million, one hundred fifty-six thousand, two hundred sixty-four".