413041552992 has 240 divisors, whose sum is σ = 1268737359120. Its totient is φ = 131687119872.

The previous prime is 413041552991. The next prime is 413041553021. The reversal of 413041552992 is 299255140314.

It is a happy number.

413041552992 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 1 + 552 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413041552991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5621838 + ... + 5694834.

It is an arithmetic number, because the mean of its divisors is an integer number (5286405663).

Almost surely, 2^413041552992 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 413041552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634368679560).

413041552992 is an abundant number, since it is smaller than the sum of its proper divisors (855695806128).

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

413041552992 is a wasteful number, since it uses less digits than its factorization.

413041552992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73115 (or 73098 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 413041552992 in words is "four hundred thirteen billion, forty-one million, five hundred fifty-two thousand, nine hundred ninety-two".