393401105160 has 512 divisors, whose sum is σ = 1464625152000. Its totient is φ = 82484379648.

The previous prime is 393401105129. The next prime is 393401105197. The reversal of 393401105160 is 61501104393.

It is a super-2 number, since 2×393401105160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180540951 + ... + 180543129.

It is an arithmetic number, because the mean of its divisors is an integer number (2860596000).

Almost surely, 2^393401105160 is an apocalyptic number.

393401105160 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 393401105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732312576000).

393401105160 is an abundant number, since it is smaller than the sum of its proper divisors (1071224046840).

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

393401105160 is a wasteful number, since it uses less digits than its factorization.

393401105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 393401105160 in words is "three hundred ninety-three billion, four hundred one million, one hundred five thousand, one hundred sixty".