4190664240 has 480 divisors, whose sum is σ = 16713216000. Its totient is φ = 940423680.

The previous prime is 4190664229. The next prime is 4190664241. The reversal of 4190664240 is 424660914.

4190664240 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 6 + 642 + 4 + 0 = 666.

4190664240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4190664195 and 4190664204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190664241) 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, 17534041 + ... + 17534279.

It is an arithmetic number, because the mean of its divisors is an integer number (34819200).

Almost surely, 2^4190664240 is an apocalyptic number.

4190664240 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 4190664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608000).

4190664240 is an abundant number, since it is smaller than the sum of its proper divisors (12522551760).

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

4190664240 is a wasteful number, since it uses less digits than its factorization.

4190664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

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

The square root of 4190664240 is about 64735.3399620331. The cubic root of 4190664240 is about 1612.2323161207.

The spelling of 4190664240 in words is "four billion, one hundred ninety million, six hundred sixty-four thousand, two hundred forty".