4186804272 has 160 divisors (see below), whose sum is σ = 12627763200. Its totient is φ = 1170664704.

The previous prime is 4186804249. The next prime is 4186804289. The reversal of 4186804272 is 2724086814.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029129 + ... + 4030167.

It is an arithmetic number, because the mean of its divisors is an integer number (78923520).

Almost surely, 2^4186804272 is an apocalyptic number.

4186804272 is a gapful number since it is divisible by the number (42) 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 4186804272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313881600).

4186804272 is an abundant number, since it is smaller than the sum of its proper divisors (8440958928).

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

4186804272 is a wasteful number, since it uses less digits than its factorization.

4186804272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4186804272 is about 64705.5196409085. The cubic root of 4186804272 is about 1611.7371617758.

The spelling of 4186804272 in words is "four billion, one hundred eighty-six million, eight hundred four thousand, two hundred seventy-two".