191134326240 has 960 divisors, whose sum is σ = 798888448512. Its totient is φ = 42425856000.

The previous prime is 191134326221. The next prime is 191134326241. The reversal of 191134326240 is 42623431191.

191134326240 is a `hidden beast` number, since 1 + 9 + 11 + 343 + 262 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 191134326195 and 191134326204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191134326241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 279844939 + ... + 279845621.

Almost surely, 2^191134326240 is an apocalyptic number.

191134326240 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 191134326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399444224256).

191134326240 is an abundant number, since it is smaller than the sum of its proper divisors (607754122272).

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

191134326240 is a wasteful number, since it uses less digits than its factorization.

191134326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 191134326240 in words is "one hundred ninety-one billion, one hundred thirty-four million, three hundred twenty-six thousand, two hundred forty".