381213640192 has 720 divisors, whose sum is σ = 1055349797040. Its totient is φ = 136552120320.

The previous prime is 381213640163. The next prime is 381213640261. The reversal of 381213640192 is 291046312183.

It is a happy number.

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, 4283299284 + ... + 4283299372.

It is an arithmetic number, because the mean of its divisors is an integer number (1465763607).

Almost surely, 2^381213640192 is an apocalyptic number.

381213640192 is a gapful number since it is divisible by the number (32) 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 381213640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527674898520).

381213640192 is an abundant number, since it is smaller than the sum of its proper divisors (674136156848).

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

381213640192 is a wasteful number, since it uses less digits than its factorization.

381213640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 381213640192 in words is "three hundred eighty-one billion, two hundred thirteen million, six hundred forty thousand, one hundred ninety-two".