30441792044664 has 1920 divisors, whose sum is σ = 119482877606400. Its totient is φ = 7115786496000.

The previous prime is 30441792044641. The next prime is 30441792044693. The reversal of 30441792044664 is 46644029714403.

30441792044664 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 179 + 2 + 0 + 4 + 466 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30441792044664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36283422757 + ... + 36283423595.

It is an arithmetic number, because the mean of its divisors is an integer number (62230665420).

Almost surely, 2^{30441792044664} 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 30441792044664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59741438803200).

30441792044664 is an abundant number, since it is smaller than the sum of its proper divisors (89041085561736).

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

30441792044664 is a wasteful number, since it uses less digits than its factorization.

30441792044664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 30441792044664 in words is "thirty trillion, four hundred forty-one billion, seven hundred ninety-two million, forty-four thousand, six hundred sixty-four".