44681043536640 has 540 divisors, whose sum is σ = 185979324063456. Its totient is φ = 10212808790016.

The previous prime is 44681043536627. The next prime is 44681043536641. The reversal of 44681043536640 is 4663534018644.

It is a happy number.

44681043536640 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 1 + 0 + 43 + 536 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (44681043536641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 682857 + ... + 9477783.

Almost surely, 2^{44681043536640} is an apocalyptic number.

44681043536640 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 44681043536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92989662031728).

44681043536640 is an abundant number, since it is smaller than the sum of its proper divisors (141298280526816).

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

44681043536640 is an equidigital number, since it uses as much as digits as its factorization.

44681043536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794974 (or 8794944 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 44681043536640 in words is "forty-four trillion, six hundred eighty-one billion, forty-three million, five hundred thirty-six thousand, six hundred forty".