4442630099904 has 560 divisors, whose sum is σ = 14092832286720. Its totient is φ = 1380749690880.

The previous prime is 4442630099849. The next prime is 4442630099917. The reversal of 4442630099904 is 4099900362444.

It is a happy number.

4442630099904 is a `hidden beast` number, since 44 + 426 + 3 + 0 + 0 + 99 + 90 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3462688447 + ... + 3462689729.

Almost surely, 2^{4442630099904} 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 4442630099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046416143360).

4442630099904 is an abundant number, since it is smaller than the sum of its proper divisors (9650202186816).

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

4442630099904 is a wasteful number, since it uses less digits than its factorization.

4442630099904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4442630099904 in words is "four trillion, four hundred forty-two billion, six hundred thirty million, ninety-nine thousand, nine hundred four".