393994394987760 has 480 divisors, whose sum is σ = 1519530794995200. Its totient is φ = 89618673715200.

The previous prime is 393994394987749. The next prime is 393994394987771. The reversal of 393994394987760 is 67789493499393.

393994394987760 is a `hidden beast` number, since 3 + 9 + 3 + 9 + 9 + 4 + 394 + 98 + 77 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (393994394987749) and next prime (393994394987771).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

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, 12730424766 + ... + 12730455714.

It is an arithmetic number, because the mean of its divisors is an integer number (3165689156240).

Almost surely, 2^{393994394987760} is an apocalyptic number.

393994394987760 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 393994394987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759765397497600).

393994394987760 is an abundant number, since it is smaller than the sum of its proper divisors (1125536400007440).

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

393994394987760 is a wasteful number, since it uses less digits than its factorization.

393994394987760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43157 (or 43148 counting only the distinct ones).

The product of its (nonzero) digits is 59997563136, while the sum is 90.

The spelling of 393994394987760 in words is "three hundred ninety-three trillion, nine hundred ninety-four billion, three hundred ninety-four million, nine hundred eighty-seven thousand, seven hundred sixty".