393142213728 has 144 divisors (see below), whose sum is σ = 1220496076800. Its totient is φ = 119049834240.

The previous prime is 393142213727. The next prime is 393142213733. The reversal of 393142213728 is 827312241393.

393142213728 is a `hidden beast` number, since 3 + 93 + 1 + 422 + 137 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393142213727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515633 + ... + 4601871.

It is an arithmetic number, because the mean of its divisors is an integer number (8475667200).

Almost surely, 2^393142213728 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 393142213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610248038400).

393142213728 is an abundant number, since it is smaller than the sum of its proper divisors (827353863072).

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

393142213728 is a wasteful number, since it uses less digits than its factorization.

393142213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87705 (or 87694 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 393142213728 in words is "three hundred ninety-three billion, one hundred forty-two million, two hundred thirteen thousand, seven hundred twenty-eight".