4442080356630 has 640 divisors, whose sum is σ = 14475045150720. Its totient is φ = 956136960000.

The previous prime is 4442080356629. The next prime is 4442080356631. The reversal of 4442080356630 is 366530802444.

4442080356630 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 0 + 8 + 0 + 3 + 5 + 6 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (4442080356629) and next prime (4442080356631).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442080356631) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1047411310 + ... + 1047415550.

It is an arithmetic number, because the mean of its divisors is an integer number (22617258048).

Almost surely, 2^{4442080356630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442080356630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237522575360).

4442080356630 is an abundant number, since it is smaller than the sum of its proper divisors (10032964794090).

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

4442080356630 is a wasteful number, since it uses less digits than its factorization.

4442080356630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4442080356630 in words is "four trillion, four hundred forty-two billion, eighty million, three hundred fifty-six thousand, six hundred thirty".