44000040040000 has 560 divisors, whose sum is σ = 123444490118400. Its totient is φ = 15408691200000.

The previous prime is 44000040039997. The next prime is 44000040040027. The reversal of 44000040040000 is 4004000044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5218835785 + ... + 5218844215.

Almost surely, 2^{44000040040000} is an apocalyptic number.

44000040040000 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 44000040040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61722245059200).

44000040040000 is an abundant number, since it is smaller than the sum of its proper divisors (79444450078400).

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

44000040040000 is a wasteful number, since it uses less digits than its factorization.

44000040040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44000040040000 its reverse (4004000044), we get a palindrome (44004044040044).

The spelling of 44000040040000 in words is "forty-four trillion, forty million, forty thousand", and thus it is an eban number.