393900561721920 has 1792 divisors, whose sum is σ = 1574885358305280. Its totient is φ = 82156083609600.

The previous prime is 393900561721889. The next prime is 393900561721963. The reversal of 393900561721920 is 29127165009393.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11382089257 + ... + 11382123863.

It is an arithmetic number, because the mean of its divisors is an integer number (878842275840).

Almost surely, 2^{393900561721920} is an apocalyptic number.

393900561721920 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 393900561721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787442679152640).

393900561721920 is an abundant number, since it is smaller than the sum of its proper divisors (1180984796583360).

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

393900561721920 is a wasteful number, since it uses less digits than its factorization.

393900561721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The spelling of 393900561721920 in words is "three hundred ninety-three trillion, nine hundred billion, five hundred sixty-one million, seven hundred twenty-one thousand, nine hundred twenty".