413785104135 has 64 divisors (see below), whose sum is σ = 736602832896. Its totient is φ = 196972300800.

The previous prime is 413785104107. The next prime is 413785104151. The reversal of 413785104135 is 531401587314.

It is not a de Polignac number, because 413785104135 - 2¹⁹ = 413784579847 is a prime.

It is a super-2 number, since 2×413785104135² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7304370 + ... + 7360800.

It is an arithmetic number, because the mean of its divisors is an integer number (11509419264).

Almost surely, 2^413785104135 is an apocalyptic number.

413785104135 is a deficient number, since it is larger than the sum of its proper divisors (322817728761).

413785104135 is a wasteful number, since it uses less digits than its factorization.

413785104135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57696.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 413785104135 in words is "four hundred thirteen billion, seven hundred eighty-five million, one hundred four thousand, one hundred thirty-five".