4408080044040 has 192 divisors, whose sum is σ = 15191401782960. Its totient is φ = 1104706437120.

The previous prime is 4408080043967. The next prime is 4408080044063. The reversal of 4408080044040 is 404400808044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3074152062276 + 1333927981764 = 1753326^2 + 1154958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4408080043986 and 4408080044004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3611280 + ... + 4675200.

Almost surely, 2^{4408080044040} is an apocalyptic number.

4408080044040 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 4408080044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595700891480).

4408080044040 is an abundant number, since it is smaller than the sum of its proper divisors (10783321738920).

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

4408080044040 is a wasteful number, since it uses less digits than its factorization.

4408080044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064632 (or 1064625 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4408080044040 in words is "four trillion, four hundred eight billion, eighty million, forty-four thousand, forty".