44034975008640 has 768 divisors, whose sum is σ = 197912336774400. Its totient is φ = 9150122741760.

The previous prime is 44034975008617. The next prime is 44034975008681. The reversal of 44034975008640 is 4680057943044.

44034975008640 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 4 + 97 + 500 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6949987 + ... + 11677853.

It is an arithmetic number, because the mean of its divisors is an integer number (257698355175).

Almost surely, 2^{44034975008640} is an apocalyptic number.

44034975008640 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 44034975008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98956168387200).

44034975008640 is an abundant number, since it is smaller than the sum of its proper divisors (153877361765760).

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

44034975008640 is a wasteful number, since it uses less digits than its factorization.

44034975008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727920 (or 4727895 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 44034975008640 in words is "forty-four trillion, thirty-four billion, nine hundred seventy-five million, eight thousand, six hundred forty".