4402319891184 has 240 divisors, whose sum is σ = 12743345727840. Its totient is φ = 1417945098240.

The previous prime is 4402319891153. The next prime is 4402319891237. The reversal of 4402319891184 is 4811989132044.

4402319891184 is a `hidden beast` number, since 4 + 402 + 31 + 98 + 9 + 118 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4402319891184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449560514 + ... + 1449563550.

It is an arithmetic number, because the mean of its divisors is an integer number (53097273866).

Almost surely, 2^{4402319891184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402319891184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371672863920).

4402319891184 is an abundant number, since it is smaller than the sum of its proper divisors (8341025836656).

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

4402319891184 is a wasteful number, since it uses less digits than its factorization.

4402319891184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4402319891184 in words is "four trillion, four hundred two billion, three hundred nineteen million, eight hundred ninety-one thousand, one hundred eighty-four".