413820965331 has 48 divisors (see below), whose sum is σ = 609375390624. Its totient is φ = 270558392832.

The previous prime is 413820965323. The next prime is 413820965387. The reversal of 413820965331 is 133569028314.

413820965331 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 20 + 96 + 533 + 1 = 666.

It is not a de Polignac number, because 413820965331 - 2³ = 413820965323 is a prime.

It is a super-2 number, since 2×413820965331² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413820965321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99545905 + ... + 99550061.

It is an arithmetic number, because the mean of its divisors is an integer number (12695320638).

Almost surely, 2^413820965331 is an apocalyptic number.

413820965331 is a deficient number, since it is larger than the sum of its proper divisors (195554425293).

413820965331 is a wasteful number, since it uses less digits than its factorization.

413820965331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 413820965331 in words is "four hundred thirteen billion, eight hundred twenty million, nine hundred sixty-five thousand, three hundred thirty-one".