4197111984 has 160 divisors (see below), whose sum is σ = 13048817600. Its totient is φ = 1283973120.

The previous prime is 4197111973. The next prime is 4197111991. The reversal of 4197111984 is 4891117914.

4197111984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014432 + ... + 1018560.

It is an arithmetic number, because the mean of its divisors is an integer number (81555110).

Almost surely, 2^4197111984 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 4197111984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524408800).

4197111984 is an abundant number, since it is smaller than the sum of its proper divisors (8851705616).

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

4197111984 is a wasteful number, since it uses less digits than its factorization.

4197111984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4328 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 4197111984 is about 64785.1216252621. The cubic root of 4197111984 is about 1613.0587510904.

The spelling of 4197111984 in words is "four billion, one hundred ninety-seven million, one hundred eleven thousand, nine hundred eighty-four".