2044440103680 has 2592 divisors, whose sum is σ = 8822839334400. Its totient is φ = 450907471872.

The previous prime is 2044440103631. The next prime is 2044440103691. The reversal of 2044440103680 is 863010444402.

2044440103680 is a `hidden beast` number, since 204 + 4 + 440 + 1 + 0 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22971237076 + ... + 22971237164.

It is an arithmetic number, because the mean of its divisors is an integer number (3403873200).

Almost surely, 2^{2044440103680} is an apocalyptic number.

2044440103680 is a gapful number since it is divisible by the number (20) 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 2044440103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411419667200).

2044440103680 is an abundant number, since it is smaller than the sum of its proper divisors (6778399230720).

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

2044440103680 is a wasteful number, since it uses less digits than its factorization.

2044440103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2044440103680 in words is "two trillion, forty-four billion, four hundred forty million, one hundred three thousand, six hundred eighty".