394444444464 has 240 divisors, whose sum is σ = 1275755679744. Its totient is φ = 111440448000.

The previous prime is 394444444463. The next prime is 394444444469. The reversal of 394444444464 is 464444444493.

394444444464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 394444444464.

It is not an unprimeable number, because it can be changed into a prime (394444444463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33936574 + ... + 33948194.

Almost surely, 2^394444444464 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 394444444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637877839872).

394444444464 is an abundant number, since it is smaller than the sum of its proper divisors (881311235280).

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

394444444464 is a wasteful number, since it uses less digits than its factorization.

394444444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12007 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 54.

The spelling of 394444444464 in words is "three hundred ninety-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred sixty-four".