4194192240 has 360 divisors, whose sum is σ = 17250302160. Its totient is φ = 908070912.

The previous prime is 4194192217. The next prime is 4194192253. The reversal of 4194192240 is 422914914.

4194192240 is a `hidden beast` number, since 4 + 19 + 419 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 4194192195 and 4194192204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 667192 + ... + 673448.

It is an arithmetic number, because the mean of its divisors is an integer number (47917506).

Almost surely, 2^4194192240 is an apocalyptic number.

4194192240 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 4194192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625151080).

4194192240 is an abundant number, since it is smaller than the sum of its proper divisors (13056109920).

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

4194192240 is a wasteful number, since it uses less digits than its factorization.

4194192240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4194192240 is about 64762.5836421000. The cubic root of 4194192240 is about 1612.6846199288.

The spelling of 4194192240 in words is "four billion, one hundred ninety-four million, one hundred ninety-two thousand, two hundred forty".