394993098720 has 576 divisors, whose sum is σ = 1610668463040. Its totient is φ = 87013785600.

The previous prime is 394993098713. The next prime is 394993098727. The reversal of 394993098720 is 27890399493.

394993098720 is a `hidden beast` number, since 3 + 9 + 499 + 30 + 98 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (394993098713) and next prime (394993098727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394993098727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783830 + ... + 7834410.

It is an arithmetic number, because the mean of its divisors is an integer number (2796299415).

Almost surely, 2^394993098720 is an apocalyptic number.

394993098720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394993098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805334231520).

394993098720 is an abundant number, since it is smaller than the sum of its proper divisors (1215675364320).

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

394993098720 is a wasteful number, since it uses less digits than its factorization.

394993098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50659 (or 50648 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 394993098720 in words is "three hundred ninety-four billion, nine hundred ninety-three million, ninety-eight thousand, seven hundred twenty".