4446611917020 has 1920 divisors, whose sum is σ = 18272172441600. Its totient is φ = 898728929280.

The previous prime is 4446611917001. The next prime is 4446611917043. The reversal of 4446611917020 is 207191166444.

4446611917020 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 611 + 9 + 1 + 7 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 33943602355 + ... + 33943602485.

It is an arithmetic number, because the mean of its divisors is an integer number (9516756480).

Almost surely, 2^{4446611917020} 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 4446611917020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136086220800).

4446611917020 is an abundant number, since it is smaller than the sum of its proper divisors (13825560524580).

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

4446611917020 is a wasteful number, since it uses less digits than its factorization.

4446611917020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4446611917020 in words is "four trillion, four hundred forty-six billion, six hundred eleven million, nine hundred seventeen thousand, twenty".