191790426240 has 640 divisors, whose sum is σ = 823991414400. Its totient is φ = 41529065472.

The previous prime is 191790426227. The next prime is 191790426251. The reversal of 191790426240 is 42624097191.

191790426240 is a `hidden beast` number, since 1 + 9 + 17 + 9 + 0 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6880812 + ... + 6908628.

It is an arithmetic number, because the mean of its divisors is an integer number (1287486585).

Almost surely, 2^191790426240 is an apocalyptic number.

191790426240 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 191790426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411995707200).

191790426240 is an abundant number, since it is smaller than the sum of its proper divisors (632200988160).

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

191790426240 is a wasteful number, since it uses less digits than its factorization.

191790426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27874 (or 27853 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 191790426240 in words is "one hundred ninety-one billion, seven hundred ninety million, four hundred twenty-six thousand, two hundred forty".