40004400444040 has 128 divisors (see below), whose sum is σ = 95484534773760. Its totient is φ = 15032056725504.

The previous prime is 40004400444011. The next prime is 40004400444053. The reversal of 40004400444040 is 4044400440004.

40004400444040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3743271577 + ... + 3743282263.

It is an arithmetic number, because the mean of its divisors is an integer number (745972927920).

Almost surely, 2^{40004400444040} is an apocalyptic number.

40004400444040 is a gapful number since it is divisible by the number (40) 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 40004400444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742267386880).

40004400444040 is an abundant number, since it is smaller than the sum of its proper divisors (55480134329720).

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

40004400444040 is a wasteful number, since it uses less digits than its factorization.

40004400444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20591 (or 20587 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40004400444040 its reverse (4044400440004), we get a palindrome (44048800884044).

The spelling of 40004400444040 in words is "forty trillion, four billion, four hundred million, four hundred forty-four thousand, forty".