44011994534400 has 240 divisors, whose sum is σ = 145583031268224. Its totient is φ = 11721020129280.

The previous prime is 44011994534383. The next prime is 44011994534413. The reversal of 44011994534400 is 443549911044.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44011994534400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28311769 + ... + 29825831.

Almost surely, 2^{44011994534400} is an apocalyptic number.

44011994534400 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 44011994534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72791515634112).

44011994534400 is an abundant number, since it is smaller than the sum of its proper divisors (101571036733824).

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

44011994534400 is a wasteful number, since it uses less digits than its factorization.

44011994534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514851 (or 1514830 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 44011994534400 in words is "forty-four trillion, eleven billion, nine hundred ninety-four million, five hundred thirty-four thousand, four hundred".