4197889152 has 288 divisors, whose sum is σ = 13336006320. Its totient is φ = 1314164736.

The previous prime is 4197889133. The next prime is 4197889193. The reversal of 4197889152 is 2519887914.

It is a happy number.

4197889152 is a `hidden beast` number, since 419 + 78 + 8 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8988823 + ... + 8989289.

Almost surely, 2^4197889152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668003160).

4197889152 is an abundant number, since it is smaller than the sum of its proper divisors (9138117168).

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

4197889152 is an equidigital number, since it uses as much as digits as its factorization.

4197889152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 489 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 4197889152 is about 64791.1193914722. The cubic root of 4197889152 is about 1613.1583068706.

The spelling of 4197889152 in words is "four billion, one hundred ninety-seven million, eight hundred eighty-nine thousand, one hundred fifty-two".