4094632080 has 480 divisors, whose sum is σ = 17902961280. Its totient is φ = 850590720.

The previous prime is 4094632067. The next prime is 4094632081. The reversal of 4094632080 is 802364904.

It is a happy number.

4094632080 is a `hidden beast` number, since 409 + 46 + 3 + 208 + 0 = 666.

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 (4094632081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162482 + ... + 1165998.

It is an arithmetic number, because the mean of its divisors is an integer number (37297836).

Almost surely, 2^4094632080 is an apocalyptic number.

4094632080 is a gapful number since it is divisible by the number (40) 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 4094632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951480640).

4094632080 is an abundant number, since it is smaller than the sum of its proper divisors (13808329200).

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

4094632080 is a wasteful number, since it uses less digits than its factorization.

4094632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4094632080 is about 63989.3122325908. The cubic root of 4094632080 is about 1599.8218655850.

Adding to 4094632080 its reverse (802364904), we get a palindrome (4896996984).

The spelling of 4094632080 in words is "four billion, ninety-four million, six hundred thirty-two thousand, eighty".