44712863120640 has 576 divisors, whose sum is σ = 168760094549760. Its totient is φ = 10005654896640.

The previous prime is 44712863120633. The next prime is 44712863120647. The reversal of 44712863120640 is 4602136821744.

It is an interprime number because it is at equal distance from previous prime (44712863120633) and next prime (44712863120647).

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 44712863120640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44712863120647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92560374 + ... + 93042186.

It is an arithmetic number, because the mean of its divisors is an integer number (292986275260).

Almost surely, 2^{44712863120640} is an apocalyptic number.

44712863120640 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 44712863120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84380047274880).

44712863120640 is an abundant number, since it is smaller than the sum of its proper divisors (124047231429120).

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

44712863120640 is a wasteful number, since it uses less digits than its factorization.

44712863120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481887 (or 481847 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 44712863120640 in words is "forty-four trillion, seven hundred twelve billion, eight hundred sixty-three million, one hundred twenty thousand, six hundred forty".