40404400004034 has 48 divisors (see below), whose sum is σ = 101119033173600. Its totient is φ = 11523536542080.

The previous prime is 40404400003993. The next prime is 40404400004047. The reversal of 40404400004034 is 43040000440404.

It is a junction number, because it is equal to n+sod(n) for n = 40404400003989 and 40404400004007.

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, 6001838584 + ... + 6001845315.

It is an arithmetic number, because the mean of its divisors is an integer number (2106646524450).

Almost surely, 2^{40404400004034} is an apocalyptic number.

40404400004034 is an abundant number, since it is smaller than the sum of its proper divisors (60714633169566).

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

40404400004034 is a wasteful number, since it uses less digits than its factorization.

40404400004034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003683935 (or 12003683932 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 40404400004034 its reverse (43040000440404), we get a palindrome (83444400444438).

The spelling of 40404400004034 in words is "forty trillion, four hundred four billion, four hundred million, four thousand, thirty-four".