4197221964 has 72 divisors (see below), whose sum is σ = 11496076592. Its totient is φ = 1283506560.

The previous prime is 4197221909. The next prime is 4197221969. The reversal of 4197221964 is 4691227914.

4197221964 is a `hidden beast` number, since 419 + 7 + 221 + 9 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4197221969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48774 + ... + 103794.

Almost surely, 2^4197221964 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 4197221964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748038296).

4197221964 is an abundant number, since it is smaller than the sum of its proper divisors (7298854628).

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

4197221964 is a wasteful number, since it uses less digits than its factorization.

4197221964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55207 (or 55202 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4197221964 is about 64785.9704257025. The cubic root of 4197221964 is about 1613.0728403540.

It can be divided in two parts, 41972 and 21964, that added together give a palindrome (63936).

The spelling of 4197221964 in words is "four billion, one hundred ninety-seven million, two hundred twenty-one thousand, nine hundred sixty-four".