40020044002004 has 96 divisors (see below), whose sum is σ = 81565625151360. Its totient is φ = 16979764838400.

The previous prime is 40020044001979. The next prime is 40020044002009.

40020044002004 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40020044002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43567499 + ... + 44476589.

It is an arithmetic number, because the mean of its divisors is an integer number (849641928660).

Almost surely, 2^{40020044002004} is an apocalyptic number.

40020044002004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40020044002004 is an abundant number, since it is smaller than the sum of its proper divisors (41545581149356).

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

40020044002004 is a wasteful number, since it uses less digits than its factorization.

40020044002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909609 (or 909607 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 4002004 and 4002004, that added together give a palindrome (8004008).

The spelling of 40020044002004 in words is "forty trillion, twenty billion, forty-four million, two thousand, four".