4201869168 has 300 divisors, whose sum is σ = 14285728512. Its totient is φ = 1188794880.

The previous prime is 4201869167. The next prime is 4201869169. The reversal of 4201869168 is 8619681024.

4201869168 is a `hidden beast` number, since 420 + 1 + 8 + 69 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (4201869167) and next prime (4201869169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201869167) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8064748 + ... + 8065268.

Almost surely, 2^4201869168 is an apocalyptic number.

4201869168 is a gapful number since it is divisible by the number (48) 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 4201869168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142864256).

4201869168 is an abundant number, since it is smaller than the sum of its proper divisors (10083859344).

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

4201869168 is a wasteful number, since it uses less digits than its factorization.

4201869168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4201869168 is about 64821.8263241634. The cubic root of 4201869168 is about 1613.6679572886.

The spelling of 4201869168 in words is "four billion, two hundred one million, eight hundred sixty-nine thousand, one hundred sixty-eight".