44102400000000 has 540 divisors, whose sum is σ = 147067436420184. Its totient is φ = 11755520000000.

The previous prime is 44102399999981. The next prime is 44102400000017. The reversal of 44102400000000 is 420144.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19199998852 + ... + 19200001148.

Almost surely, 2^{44102400000000} is an apocalyptic number.

44102400000000 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 44102400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533718210092).

44102400000000 is an abundant number, since it is smaller than the sum of its proper divisors (102965036420184).

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

44102400000000 is an frugal number, since it uses more digits than its factorization.

44102400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 44102400000000 its reverse (420144), we get a palindrome (44102400420144).

The spelling of 44102400000000 in words is "forty-four trillion, one hundred two billion, four hundred million", and thus it is an aban number.