4194742080 has 112 divisors (see below), whose sum is σ = 13377672000. Its totient is φ = 1113612288.

The previous prime is 4194742073. The next prime is 4194742117. The reversal of 4194742080 is 802474914.

It is a super-4 number, since 4×4194742080⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208296 + ... + 227544.

It is an arithmetic number, because the mean of its divisors is an integer number (119443500).

Almost surely, 2^4194742080 is an apocalyptic number.

4194742080 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 4194742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688836000).

4194742080 is an abundant number, since it is smaller than the sum of its proper divisors (9182929920).

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

4194742080 is a wasteful number, since it uses less digits than its factorization.

4194742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4194742080 is about 64766.8285467183. The cubic root of 4194742080 is about 1612.7550887831.

The spelling of 4194742080 in words is "four billion, one hundred ninety-four million, seven hundred forty-two thousand, eighty".