4044400404000 has 384 divisors, whose sum is σ = 14505522280704. Its totient is φ = 976962560000.

The previous prime is 4044400403993. The next prime is 4044400404001. The reversal of 4044400404000 is 4040044404.

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 not an unprimeable number, because it can be changed into a prime (4044400404001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37037482 + ... + 37146518.

It is an arithmetic number, because the mean of its divisors is an integer number (37774797606).

Almost surely, 2^{4044400404000} is an apocalyptic number.

4044400404000 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 4044400404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252761140352).

4044400404000 is an abundant number, since it is smaller than the sum of its proper divisors (10461121876704).

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

4044400404000 is a wasteful number, since it uses less digits than its factorization.

4044400404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109357 (or 109339 counting only the distinct ones).

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

Adding to 4044400404000 its reverse (4040044404), we get a palindrome (4048440448404).

The spelling of 4044400404000 in words is "four trillion, forty-four billion, four hundred million, four hundred four thousand".