1840114000 has 80 divisors (see below), whose sum is σ = 4711211856. Its totient is φ = 692736000.

The previous prime is 1840113991. The next prime is 1840114021. The reversal of 1840114000 is 4110481.

It can be written as a sum of positive squares in 8 ways, for example, as 1034008336 + 806105664 = 32156^2 + 28392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6940 + ... + 61060.

Almost surely, 2^1840114000 is an apocalyptic number.

1840114000 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 1840114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355605928).

1840114000 is an abundant number, since it is smaller than the sum of its proper divisors (2871097856).

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

1840114000 is a wasteful number, since it uses less digits than its factorization.

1840114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54161 (or 54145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1840114000 is about 42896.5499778246. The cubic root of 1840114000 is about 1225.4104413900.

Adding to 1840114000 its reverse (4110481), we get a palindrome (1844224481).

The spelling of 1840114000 in words is "one billion, eight hundred forty million, one hundred fourteen thousand".