4444891111680 has 576 divisors, whose sum is σ = 15300338780160. Its totient is φ = 1095743438848.

The previous prime is 4444891111669. The next prime is 4444891111709. The reversal of 4444891111680 is 861111984444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969862669 + ... + 969867251.

It is an arithmetic number, because the mean of its divisors is an integer number (26563088160).

Almost surely, 2^{4444891111680} is an apocalyptic number.

4444891111680 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 4444891111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650169390080).

4444891111680 is an abundant number, since it is smaller than the sum of its proper divisors (10855447668480).

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

4444891111680 is a wasteful number, since it uses less digits than its factorization.

4444891111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 4444891111680 in words is "four trillion, four hundred forty-four billion, eight hundred ninety-one million, one hundred eleven thousand, six hundred eighty".