44400322104000 has 224 divisors, whose sum is σ = 146639358028800. Its totient is φ = 11837703961600.

The previous prime is 44400322103993. The next prime is 44400322104007. The reversal of 44400322104000 is 40122300444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44400322103993) and next prime (44400322104007).

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

It is not an unprimeable number, because it can be changed into a prime (44400322104007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120752431 + ... + 121119569.

It is an arithmetic number, because the mean of its divisors is an integer number (654639991200).

Almost surely, 2^{44400322104000} is an apocalyptic number.

44400322104000 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 44400322104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73319679014400).

44400322104000 is an abundant number, since it is smaller than the sum of its proper divisors (102239035924800).

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

44400322104000 is a wasteful number, since it uses less digits than its factorization.

44400322104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372208 (or 372188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44400322104000 its reverse (40122300444), we get a palindrome (44440444404444).

The spelling of 44400322104000 in words is "forty-four trillion, four hundred billion, three hundred twenty-two million, one hundred four thousand".