4040444400000 has 1536 divisors, whose sum is σ = 15010060544640. Its totient is φ = 958464000000.

The previous prime is 4040444399951. The next prime is 4040444400049. The reversal of 4040444400000 is 44440404.

It is an interprime number because it is at equal distance from previous prime (4040444399951) and next prime (4040444400049).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40004399950 + ... + 40004400050.

Almost surely, 2^{4040444400000} is an apocalyptic number.

4040444400000 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 4040444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505030272320).

4040444400000 is an abundant number, since it is smaller than the sum of its proper divisors (10969616144640).

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

4040444400000 is a wasteful number, since it uses less digits than its factorization.

4040444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4040444400000 its reverse (44440404), we get a palindrome (4040488840404).

It can be divided in two parts, 4040444 and 400000, that added together give a palindrome (4440444).

The spelling of 4040444400000 in words is "four trillion, forty billion, four hundred forty-four million, four hundred thousand".