191933965495440 has 320 divisors, whose sum is σ = 771625104261120. Its totient is φ = 42937203064320.

The previous prime is 191933965495417. The next prime is 191933965495451. The reversal of 191933965495440 is 44594569339191.

It is a happy number.

191933965495440 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 3 + 3 + 96 + 5 + 4 + 95 + 440 = 666.

It is a super-2 number, since 2×191933965495440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134332396 + ... + 135753675.

It is an arithmetic number, because the mean of its divisors is an integer number (2411328450816).

Almost surely, 2^{191933965495440} is an apocalyptic number.

191933965495440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191933965495440 is an abundant number, since it is smaller than the sum of its proper divisors (579691138765680).

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

191933965495440 is a wasteful number, since it uses less digits than its factorization.

191933965495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270086147 (or 270086135 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 191933965495440 in words is "one hundred ninety-one trillion, nine hundred thirty-three billion, nine hundred sixty-five million, four hundred ninety-five thousand, four hundred forty".