193340429920 has 192 divisors, whose sum is σ = 514665555264. Its totient is φ = 68031774720.

The previous prime is 193340429917. The next prime is 193340429921. The reversal of 193340429920 is 29924043391.

It is a happy number.

193340429920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193340429921) 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 31 ways as a sum of consecutive naturals, for example, 6795244 + ... + 6823636.

It is an arithmetic number, because the mean of its divisors is an integer number (2680549767).

Almost surely, 2^193340429920 is an apocalyptic number.

193340429920 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 193340429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257332777632).

193340429920 is an abundant number, since it is smaller than the sum of its proper divisors (321325125344).

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

193340429920 is a wasteful number, since it uses less digits than its factorization.

193340429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28545 (or 28537 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 193340429920 in words is "one hundred ninety-three billion, three hundred forty million, four hundred twenty-nine thousand, nine hundred twenty".