191314440 has 128 divisors (see below), whose sum is σ = 651456000. Its totient is φ = 49918464.

The previous prime is 191314429. The next prime is 191314441. The reversal of 191314440 is 44413191.

191314440 is a `hidden beast` number, since 191 + 31 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (191314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48876 + ... + 52644.

It is an arithmetic number, because the mean of its divisors is an integer number (5089500).

Almost surely, 2^191314440 is an apocalyptic number.

191314440 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 191314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325728000).

191314440 is an abundant number, since it is smaller than the sum of its proper divisors (460141560).

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

191314440 is a wasteful number, since it uses less digits than its factorization.

191314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 191314440 is about 13831.6463228352. The cubic root of 191314440 is about 576.2123782811.

The spelling of 191314440 in words is "one hundred ninety-one million, three hundred fourteen thousand, four hundred forty".