40040044004004 has 48 divisors (see below), whose sum is σ = 101920529577216. Its totient is φ = 12133296957600.

The previous prime is 40040044003997. The next prime is 40040044004011.

40040044004004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40040044003997) and next prime (40040044004011).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43589499 + ... + 44498589.

It is an arithmetic number, because the mean of its divisors is an integer number (2123344366192).

Almost surely, 2^{40040044004004} is an apocalyptic number.

40040044004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40040044004004 is an abundant number, since it is smaller than the sum of its proper divisors (61880485573212).

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

40040044004004 is a wasteful number, since it uses less digits than its factorization.

40040044004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242776 (or 1242774 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4004004 and 4004004, that added together give a palindrome (8008008).

The spelling of 40040044004004 in words is "forty trillion, forty billion, forty-four million, four thousand, four", and thus it is an eban number.