40344444444304 has 320 divisors, whose sum is σ = 105950461736448. Its totient is φ = 14371622092800.

The previous prime is 40344444444263. The next prime is 40344444444349.

40344444444304 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114673092 + ... + 3114686044.

Almost surely, 2^{40344444444304} is an apocalyptic number.

40344444444304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40344444444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52975230868224).

40344444444304 is an abundant number, since it is smaller than the sum of its proper divisors (65606017292144).

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

40344444444304 is a wasteful number, since it uses less digits than its factorization.

40344444444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14826 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 46.

It can be divided in two parts, 4034444 and 4444304, that added together give a palindrome (8478748).

The spelling of 40344444444304 in words is "forty trillion, three hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, three hundred four".