4400040000000 has 640 divisors, whose sum is σ = 15063636436992. Its totient is φ = 1140480000000.

The previous prime is 4400039999987. The next prime is 4400040000029. The reversal of 4400040000000 is 400044.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4439999505 + ... + 4440000495.

Almost surely, 2^{4400040000000} is an apocalyptic number.

4400040000000 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 4400040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531818218496).

4400040000000 is an abundant number, since it is smaller than the sum of its proper divisors (10663596436992).

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

4400040000000 is an frugal number, since it uses more digits than its factorization.

4400040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 4400040000000 its reverse (400044), we get a palindrome (4400040400044).

The spelling of 4400040000000 in words is "four trillion, four hundred billion, forty million", and thus it is an aban number.