393859040960 has 448 divisors, whose sum is σ = 1280815441920. Its totient is φ = 111552430080.

The previous prime is 393859040959. The next prime is 393859040963. The reversal of 393859040960 is 69040958393.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 393859040896 and 393859040905.

It is not an unprimeable number, because it can be changed into a prime (393859040963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12131309 + ... + 12163731.

It is an arithmetic number, because the mean of its divisors is an integer number (2858963040).

Almost surely, 2^393859040960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393859040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640407720960).

393859040960 is an abundant number, since it is smaller than the sum of its proper divisors (886956400960).

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

393859040960 is a wasteful number, since it uses less digits than its factorization.

393859040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32504 (or 32494 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 56.

The spelling of 393859040960 in words is "three hundred ninety-three billion, eight hundred fifty-nine million, forty thousand, nine hundred sixty".