40413444431404 has 72 divisors (see below), whose sum is σ = 78236465832000. Its totient is φ = 18252147761760.

The previous prime is 40413444431387. The next prime is 40413444431417.

40413444431404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40413444431404² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54455559 + ... + 55192705.

It is an arithmetic number, because the mean of its divisors is an integer number (1086617581000).

Almost surely, 2^{40413444431404} is an apocalyptic number.

40413444431404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40413444431404 is a deficient number, since it is larger than the sum of its proper divisors (37823021400596).

40413444431404 is a wasteful number, since it uses less digits than its factorization.

40413444431404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737899 (or 737886 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 4041344 and 4431404, that added together give a palindrome (8472748).

The spelling of 40413444431404 in words is "forty trillion, four hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred four".