44400133044000 has 768 divisors, whose sum is σ = 172080606297600. Its totient is φ = 11081226240000.

The previous prime is 44400133043999. The next prime is 44400133044031. The reversal of 44400133044000 is 44033100444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328576450 + ... + 328711550.

It is an arithmetic number, because the mean of its divisors is an integer number (224063289450).

Almost surely, 2^{44400133044000} is an apocalyptic number.

44400133044000 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 44400133044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86040303148800).

44400133044000 is an abundant number, since it is smaller than the sum of its proper divisors (127680473253600).

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

44400133044000 is a wasteful number, since it uses less digits than its factorization.

44400133044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135331 (or 135307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44400133044000 its reverse (44033100444), we get a palindrome (44444166144444).

The spelling of 44400133044000 in words is "forty-four trillion, four hundred billion, one hundred thirty-three million, forty-four thousand".