413021742336 has 432 divisors, whose sum is σ = 1494418633344. Its totient is φ = 111062679552.

The previous prime is 413021742317. The next prime is 413021742347. The reversal of 413021742336 is 633247120314.

413021742336 is a `hidden beast` number, since 4 + 1 + 302 + 17 + 4 + 2 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413021742336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7374856 + ... + 7430648.

It is an arithmetic number, because the mean of its divisors is an integer number (3459302392).

Almost surely, 2^413021742336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747209316672).

413021742336 is an abundant number, since it is smaller than the sum of its proper divisors (1081396891008).

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

413021742336 is an equidigital number, since it uses as much as digits as its factorization.

413021742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55848 (or 55822 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 413021742336 in words is "four hundred thirteen billion, twenty-one million, seven hundred forty-two thousand, three hundred thirty-six".