44034393312000 has 3456 divisors, whose sum is σ = 214351604812800. Its totient is φ = 8799694848000.

The previous prime is 44034393311939. The next prime is 44034393312037. The reversal of 44034393312000 is 21339343044.

44034393312000 is a `hidden beast` number, since 4 + 4 + 0 + 34 + 393 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 10456989895 + ... + 10456994105.

It is an arithmetic number, because the mean of its divisors is an integer number (62023033800).

Almost surely, 2^{44034393312000} is an apocalyptic number.

44034393312000 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 44034393312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107175802406400).

44034393312000 is an abundant number, since it is smaller than the sum of its proper divisors (170317211500800).

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

44034393312000 is a wasteful number, since it uses less digits than its factorization.

44034393312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 44034393312000 in words is "forty-four trillion, thirty-four billion, three hundred ninety-three million, three hundred twelve thousand".