40404013313 has 12 divisors (see below), whose sum is σ = 42300219780. Its totient is φ = 38589551616.

The previous prime is 40404013261. The next prime is 40404013337. The reversal of 40404013313 is 31331040404.

It can be written as a sum of positive squares in 2 ways, for example, as 6852031729 + 33551981584 = 82777^2 + 183172^2 .

It is not a de Polignac number, because 40404013313 - 2¹⁸ = 40403751169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40404013343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 299273 + ... + 412761.

It is an arithmetic number, because the mean of its divisors is an integer number (3525018315).

Almost surely, 2^40404013313 is an apocalyptic number.

It is an amenable number.

40404013313 is a deficient number, since it is larger than the sum of its proper divisors (1896206467).

40404013313 is a wasteful number, since it uses less digits than its factorization.

40404013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114208 (or 114185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 40404013313 its reverse (31331040404), we get a palindrome (71735053717).

The spelling of 40404013313 in words is "forty billion, four hundred four million, thirteen thousand, three hundred thirteen".