2044417607680 has 576 divisors, whose sum is σ = 6056166916800. Its totient is φ = 658579783680.

The previous prime is 2044417607671. The next prime is 2044417607681. The reversal of 2044417607680 is 867067144402.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2044417607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248879822 + ... + 1248881458.

It is an arithmetic number, because the mean of its divisors is an integer number (10514178675).

Almost surely, 2^{2044417607680} is an apocalyptic number.

2044417607680 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 2044417607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028083458400).

2044417607680 is an abundant number, since it is smaller than the sum of its proper divisors (4011749309120).

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

2044417607680 is a wasteful number, since it uses less digits than its factorization.

2044417607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 2044417607680 in words is "two trillion, forty-four billion, four hundred seventeen million, six hundred seven thousand, six hundred eighty".