385193401600 has 648 divisors, whose sum is σ = 1177870861440. Its totient is φ = 121935052800.

The previous prime is 385193401561. The next prime is 385193401627. The reversal of 385193401600 is 6104391583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 990214206 + ... + 990214594.

Almost surely, 2^385193401600 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 385193401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588935430720).

385193401600 is an abundant number, since it is smaller than the sum of its proper divisors (792677459840).

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

385193401600 is a wasteful number, since it uses less digits than its factorization.

385193401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 385193401600 in words is "three hundred eighty-five billion, one hundred ninety-three million, four hundred one thousand, six hundred".