44401940068640 has 768 divisors, whose sum is σ = 135009056931840. Its totient is φ = 13399565598720.

The previous prime is 44401940068627. The next prime is 44401940068663. The reversal of 44401940068640 is 4686004910444.

It is a super-2 number, since 2×44401940068640² (a number of 28 digits) contains 22 as substring.

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, 27123969902 + ... + 27123971538.

It is an arithmetic number, because the mean of its divisors is an integer number (175793042880).

Almost surely, 2^{44401940068640} is an apocalyptic number.

44401940068640 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 44401940068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67504528465920).

44401940068640 is an abundant number, since it is smaller than the sum of its proper divisors (90607116863200).

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

44401940068640 is a wasteful number, since it uses less digits than its factorization.

44401940068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 44401940068640 in words is "forty-four trillion, four hundred one billion, nine hundred forty million, sixty-eight thousand, six hundred forty".