4442784223680 has 896 divisors, whose sum is σ = 17444118528000. Its totient is φ = 1055356047360.

The previous prime is 4442784223679. The next prime is 4442784223763. The reversal of 4442784223680 is 863224872444.

4442784223680 is a `hidden beast` number, since 4 + 4 + 4 + 278 + 4 + 2 + 2 + 368 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2013041137 + ... + 2013043343.

Almost surely, 2^{4442784223680} is an apocalyptic number.

4442784223680 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 4442784223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722059264000).

4442784223680 is an abundant number, since it is smaller than the sum of its proper divisors (13001334304320).

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

4442784223680 is a wasteful number, since it uses less digits than its factorization.

4442784223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 4442784223680 in words is "four trillion, four hundred forty-two billion, seven hundred eighty-four million, two hundred twenty-three thousand, six hundred eighty".