40044044044004 has 384 divisors, whose sum is σ = 97035625257984. Its totient is φ = 13959475200000.

The previous prime is 40044044044003. The next prime is 40044044044007.

40044044044004 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40044044044001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4044439454 + ... + 4044449354.

It is an arithmetic number, because the mean of its divisors is an integer number (252696940776).

Almost surely, 2^{40044044044004} is an apocalyptic number.

40044044044004 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 40044044044004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48517812628992).

40044044044004 is an abundant number, since it is smaller than the sum of its proper divisors (56991581213980).

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

40044044044004 is a wasteful number, since it uses less digits than its factorization.

40044044044004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10247 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4004404 and 4044004, that added together give a palindrome (8048408).

The spelling of 40044044044004 in words is "forty trillion, forty-four billion, forty-four million, forty-four thousand, four", and thus it is an eban number.