4197382416 has 400 divisors, whose sum is σ = 13957320960. Its totient is φ = 1209323520.

The previous prime is 4197382403. The next prime is 4197382429. The reversal of 4197382416 is 6142837914.

It is an interprime number because it is at equal distance from previous prime (4197382403) and next prime (4197382429).

It is a super-2 number, since 2×4197382416² = 35236038292291994112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15488361 + ... + 15488631.

Almost surely, 2^4197382416 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 4197382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978660480).

4197382416 is an abundant number, since it is smaller than the sum of its proper divisors (9759938544).

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

4197382416 is a wasteful number, since it uses less digits than its factorization.

4197382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4197382416 is about 64787.2087375278. The cubic root of 4197382416 is about 1613.0933950183.

The spelling of 4197382416 in words is "four billion, one hundred ninety-seven million, three hundred eighty-two thousand, four hundred sixteen".