4197991860 has 240 divisors, whose sum is σ = 14343436800. Its totient is φ = 1023757056.

The previous prime is 4197991793. The next prime is 4197991867. The reversal of 4197991860 is 681997914.

4197991860 is digitally balanced in base 2 and base 4, because in such bases 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 4197991797 and 4197991806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197991867) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890269 + ... + 894971.

It is an arithmetic number, because the mean of its divisors is an integer number (59764320).

Almost surely, 2^4197991860 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 4197991860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171718400).

4197991860 is an abundant number, since it is smaller than the sum of its proper divisors (10145444940).

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

4197991860 is a wasteful number, since it uses less digits than its factorization.

4197991860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 4197991860 is about 64791.9119952483. The cubic root of 4197991860 is about 1613.1714629201.

The spelling of 4197991860 in words is "four billion, one hundred ninety-seven million, nine hundred ninety-one thousand, eight hundred sixty".