393117840000 has 1280 divisors, whose sum is σ = 1557806342400. Its totient is φ = 97320960000.

The previous prime is 393117839971. The next prime is 393117840013. The reversal of 393117840000 is 48711393.

It is a happy number.

It is a super-2 number, since 2×393117840000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2036879904 + ... + 2036880096.

It is an arithmetic number, because the mean of its divisors is an integer number (1217036205).

Almost surely, 2^393117840000 is an apocalyptic number.

393117840000 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 393117840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778903171200).

393117840000 is an abundant number, since it is smaller than the sum of its proper divisors (1164688502400).

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

393117840000 is a wasteful number, since it uses less digits than its factorization.

393117840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 393117840000 in words is "three hundred ninety-three billion, one hundred seventeen million, eight hundred forty thousand".