4166840304 has 120 divisors (see below), whose sum is σ = 12786384000. Its totient is φ = 1256238720.

The previous prime is 4166840303. The next prime is 4166840329. The reversal of 4166840304 is 4030486614.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166840303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308607 + ... + 321825.

It is an arithmetic number, because the mean of its divisors is an integer number (106553200).

Almost surely, 2^4166840304 is an apocalyptic number.

4166840304 is a gapful number since it is divisible by the number (44) 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 4166840304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393192000).

4166840304 is an abundant number, since it is smaller than the sum of its proper divisors (8619543696).

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

4166840304 is a wasteful number, since it uses less digits than its factorization.

4166840304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4166840304 is about 64551.0674117787. The cubic root of 4166840304 is about 1609.1713266992.

The spelling of 4166840304 in words is "four billion, one hundred sixty-six million, eight hundred forty thousand, three hundred four".