40344044304 has 80 divisors (see below), whose sum is σ = 107994230784. Its totient is φ = 12964598400.

The previous prime is 40344044303. The next prime is 40344044311.

40344044304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40344044304² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40344044303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339799 + ... + 442889.

Almost surely, 2^40344044304 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 40344044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53997115392).

40344044304 is an abundant number, since it is smaller than the sum of its proper divisors (67650186480).

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

40344044304 is a wasteful number, since it uses less digits than its factorization.

40344044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103396 (or 103390 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 403440 and 44304, that added together give a palindrome (447744).

The spelling of 40344044304 in words is "forty billion, three hundred forty-four million, forty-four thousand, three hundred four".