191023867440 has 960 divisors, whose sum is σ = 802977177600. Its totient is φ = 39713587200.

The previous prime is 191023867387. The next prime is 191023867453. The reversal of 191023867440 is 44768320191.

191023867440 is a `hidden beast` number, since 19 + 102 + 38 + 67 + 440 = 666.

191023867440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 679800100 + ... + 679800380.

It is an arithmetic number, because the mean of its divisors is an integer number (836434560).

Almost surely, 2^191023867440 is an apocalyptic number.

191023867440 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 191023867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401488588800).

191023867440 is an abundant number, since it is smaller than the sum of its proper divisors (611953310160).

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

191023867440 is a wasteful number, since it uses less digits than its factorization.

191023867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 191023867440 in words is "one hundred ninety-one billion, twenty-three million, eight hundred sixty-seven thousand, four hundred forty".