393893940960 has 1152 divisors, whose sum is σ = 1618451767296. Its totient is φ = 89669099520.

The previous prime is 393893940953. The next prime is 393893940977. The reversal of 393893940960 is 69049398393.

393893940960 is a `hidden beast` number, since 3 + 93 + 89 + 3 + 9 + 409 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360378174 + ... + 360379266.

It is an arithmetic number, because the mean of its divisors is an integer number (1404906048).

Almost surely, 2^393893940960 is an apocalyptic number.

393893940960 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 393893940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809225883648).

393893940960 is an abundant number, since it is smaller than the sum of its proper divisors (1224557826336).

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

393893940960 is a wasteful number, since it uses less digits than its factorization.

393893940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 393893940960 in words is "three hundred ninety-three billion, eight hundred ninety-three million, nine hundred forty thousand, nine hundred sixty".