192291038940 has 1152 divisors, whose sum is σ = 773581455360. Its totient is φ = 34670592000.

The previous prime is 192291038903. The next prime is 192291038941. The reversal of 192291038940 is 49830192291.

192291038940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 192291038940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192291038941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 839698746 + ... + 839698974.

It is an arithmetic number, because the mean of its divisors is an integer number (671511680).

Almost surely, 2^192291038940 is an apocalyptic number.

192291038940 is a gapful number since it is divisible by the number (10) 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 192291038940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386790727680).

192291038940 is an abundant number, since it is smaller than the sum of its proper divisors (581290416420).

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

192291038940 is a wasteful number, since it uses less digits than its factorization.

192291038940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 192291038940 in words is "one hundred ninety-two billion, two hundred ninety-one million, thirty-eight thousand, nine hundred forty".