4418442362880 has 1680 divisors, whose sum is σ = 19737043035360. Its totient is φ = 932242784256.

The previous prime is 4418442362861. The next prime is 4418442362897. The reversal of 4418442362880 is 882632448144.

It is a happy number.

4418442362880 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 4 + 4 + 2 + 3 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 339880181754 + ... + 339880181766.

It is an arithmetic number, because the mean of its divisors is an integer number (11748239902).

Almost surely, 2^{4418442362880} is an apocalyptic number.

4418442362880 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 4418442362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868521517680).

4418442362880 is an abundant number, since it is smaller than the sum of its proper divisors (15318600672480).

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

4418442362880 is an frugal number, since it uses more digits than its factorization.

4418442362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 4418442362880 in words is "four trillion, four hundred eighteen billion, four hundred forty-two million, three hundred sixty-two thousand, eight hundred eighty".