4443074460864 has 672 divisors, whose sum is σ = 14702545428480. Its totient is φ = 1271439949824.

The previous prime is 4443074460841. The next prime is 4443074460899. The reversal of 4443074460864 is 4680644703444.

4443074460864 is a `hidden beast` number, since 4 + 4 + 4 + 30 + 74 + 460 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4443074460864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3650841184 + ... + 3650842400.

It is an arithmetic number, because the mean of its divisors is an integer number (21878787840).

Almost surely, 2^{4443074460864} 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 4443074460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351272714240).

4443074460864 is an abundant number, since it is smaller than the sum of its proper divisors (10259470967616).

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

4443074460864 is a wasteful number, since it uses less digits than its factorization.

4443074460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 4443074460864 in words is "four trillion, four hundred forty-three billion, seventy-four million, four hundred sixty thousand, eight hundred sixty-four".