394638373600128 has 512 divisors, whose sum is σ = 1338147854668800. Its totient is φ = 112160026460160.

The previous prime is 394638373600117. The next prime is 394638373600147. The reversal of 394638373600128 is 821006373836493.

394638373600128 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 3 + 8 + 3 + 7 + 3 + 600 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3990348376 + ... + 3990447272.

It is an arithmetic number, because the mean of its divisors is an integer number (2613570028650).

Almost surely, 2^{394638373600128} 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 394638373600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669073927334400).

394638373600128 is an abundant number, since it is smaller than the sum of its proper divisors (943509481068672).

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

394638373600128 is a wasteful number, since it uses less digits than its factorization.

394638373600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99795 (or 99777 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 394638373600128 in words is "three hundred ninety-four trillion, six hundred thirty-eight billion, three hundred seventy-three million, six hundred thousand, one hundred twenty-eight".