413433936152064 has 960 divisors, whose sum is σ = 1283993755140096. Its totient is φ = 132703745900544.

The previous prime is 413433936152063. The next prime is 413433936152089. The reversal of 413433936152064 is 460251639334314.

413433936152064 is a `hidden beast` number, since 4 + 1 + 3 + 43 + 39 + 361 + 5 + 206 + 4 = 666.

It is a super-2 number, since 2×413433936152064² (a number of 30 digits) contains 22 as substring.

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 413433936152064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413433936152063) 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 95 ways as a sum of consecutive naturals, for example, 378256116702 + ... + 378256117794.

Almost surely, 2^{413433936152064} 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 413433936152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641996877570048).

413433936152064 is an abundant number, since it is smaller than the sum of its proper divisors (870559818988032).

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

413433936152064 is a wasteful number, since it uses less digits than its factorization.

413433936152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 413433936152064 in words is "four hundred thirteen trillion, four hundred thirty-three billion, nine hundred thirty-six million, one hundred fifty-two thousand, sixty-four".