191305949940 has 432 divisors, whose sum is σ = 692790658560. Its totient is φ = 42583242240.

The previous prime is 191305949837. The next prime is 191305949957. The reversal of 191305949940 is 49949503191.

It is a happy number.

191305949940 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 0 + 594 + 9 + 9 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193042845 + ... + 193043835.

It is an arithmetic number, because the mean of its divisors is an integer number (1603682080).

Almost surely, 2^191305949940 is an apocalyptic number.

191305949940 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 191305949940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346395329280).

191305949940 is an abundant number, since it is smaller than the sum of its proper divisors (501484708620).

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

191305949940 is a wasteful number, since it uses less digits than its factorization.

191305949940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 191305949940 in words is "one hundred ninety-one billion, three hundred five million, nine hundred forty-nine thousand, nine hundred forty".