393696321258240 has 2592 divisors, whose sum is σ = 1846481653580928. Its totient is φ = 75361458585600.

The previous prime is 393696321258223. The next prime is 393696321258269. The reversal of 393696321258240 is 42852123696393.

It is a happy number.

393696321258240 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 9 + 6 + 3 + 2 + 1 + 2 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68624072652 + ... + 68624078388.

Almost surely, 2^{393696321258240} is an apocalyptic number.

393696321258240 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 393696321258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923240826790464).

393696321258240 is an abundant number, since it is smaller than the sum of its proper divisors (1452785332322688).

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

393696321258240 is a wasteful number, since it uses less digits than its factorization.

393696321258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 393696321258240 in words is "three hundred ninety-three trillion, six hundred ninety-six billion, three hundred twenty-one million, two hundred fifty-eight thousand, two hundred forty".