385741951171200 has 576 divisors, whose sum is σ = 1488941189998080. Its totient is φ = 94526051328000.

The previous prime is 385741951171133. The next prime is 385741951171217. The reversal of 385741951171200 is 2171159147583.

It is a happy number.

385741951171200 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 419 + 5 + 1 + 17 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 81181125 + ... + 85801275.

Almost surely, 2^{385741951171200} is an apocalyptic number.

385741951171200 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 385741951171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744470594999040).

385741951171200 is an abundant number, since it is smaller than the sum of its proper divisors (1103199238826880).

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

385741951171200 is a wasteful number, since it uses less digits than its factorization.

385741951171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620417 (or 4620397 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 385741951171200 in words is "three hundred eighty-five trillion, seven hundred forty-one billion, nine hundred fifty-one million, one hundred seventy-one thousand, two hundred".