5840199414 has 256 divisors, whose sum is σ = 16353239040. Its totient is φ = 1507092480.

The previous prime is 5840199389. The next prime is 5840199419. The reversal of 5840199414 is 4149910485.

It is a happy number.

5840199414 is a `hidden beast` number, since 5 + 8 + 40 + 199 + 414 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5840199414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5840199419) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18423184 + ... + 18423500.

It is an arithmetic number, because the mean of its divisors is an integer number (63879840).

Almost surely, 2^5840199414 is an apocalyptic number.

5840199414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5840199414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176619520).

5840199414 is an abundant number, since it is smaller than the sum of its proper divisors (10513039626).

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

5840199414 is a wasteful number, since it uses less digits than its factorization.

5840199414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5840199414 is about 76421.1974127598. The cubic root of 5840199414 is about 1800.8431660889.

The spelling of 5840199414 in words is "five billion, eight hundred forty million, one hundred ninety-nine thousand, four hundred fourteen".