4186423296 has 360 divisors, whose sum is σ = 13801460400. Its totient is φ = 1211105280.

The previous prime is 4186423279. The next prime is 4186423321. The reversal of 4186423296 is 6923246814.

It is a super-2 number, since 2×4186423296² = 35052280026583007232, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47038420 + ... + 47038508.

It is an arithmetic number, because the mean of its divisors is an integer number (38337390).

Almost surely, 2^4186423296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4186423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900730200).

4186423296 is an abundant number, since it is smaller than the sum of its proper divisors (9615037104).

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

4186423296 is a wasteful number, since it uses less digits than its factorization.

4186423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4186423296 is about 64702.5756519785. The cubic root of 4186423296 is about 1611.6882739079.

The spelling of 4186423296 in words is "four billion, one hundred eighty-six million, four hundred twenty-three thousand, two hundred ninety-six".