4168207890 has 384 divisors, whose sum is σ = 14524876800. Its totient is φ = 826277760.

The previous prime is 4168207877. The next prime is 4168207891. The reversal of 4168207890 is 987028614.

4168207890 is a `hidden beast` number, since 416 + 82 + 0 + 78 + 90 = 666.

4168207890 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 (45).

It is not an unprimeable number, because it can be changed into a prime (4168207891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10997721 + ... + 10998099.

It is an arithmetic number, because the mean of its divisors is an integer number (37825200).

Almost surely, 2^4168207890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168207890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262438400).

4168207890 is an abundant number, since it is smaller than the sum of its proper divisors (10356668910).

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

4168207890 is a wasteful number, since it uses less digits than its factorization.

4168207890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4168207890 is about 64561.6595976281. The cubic root of 4168207890 is about 1609.3473545206.

The spelling of 4168207890 in words is "four billion, one hundred sixty-eight million, two hundred seven thousand, eight hundred ninety".