4182992814 has 128 divisors (see below), whose sum is σ = 11270181888. Its totient is φ = 999567360.

The previous prime is 4182992731. The next prime is 4182992867.

4182992814 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

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, 2119132 + ... + 2121104.

It is an arithmetic number, because the mean of its divisors is an integer number (88048296).

Almost surely, 2^4182992814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182992814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635090944).

4182992814 is an abundant number, since it is smaller than the sum of its proper divisors (7087189074).

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

4182992814 is a wasteful number, since it uses less digits than its factorization.

4182992814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362.

The product of its digits is 331776, while the sum is 48.

The square root of 4182992814 is about 64676.0605943188. The cubic root of 4182992814 is about 1611.2479315532.

The spelling of 4182992814 in words is "four billion, one hundred eighty-two million, nine hundred ninety-two thousand, eight hundred fourteen".