4197667914 has 128 divisors (see below), whose sum is σ = 10808328960. Its totient is φ = 1193472000.

The previous prime is 4197667909. The next prime is 4197667937.

4197667914 is nontrivially palindromic in base 10.

4197667914 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 super-2 number, since 2×4197667914² = 35240831832450222792, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5987764 + ... + 5988464.

It is an arithmetic number, because the mean of its divisors is an integer number (84440070).

Almost surely, 2^4197667914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197667914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404164480).

4197667914 is an abundant number, since it is smaller than the sum of its proper divisors (6610661046).

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

4197667914 is a wasteful number, since it uses less digits than its factorization.

4197667914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 4197667914 is about 64789.4120516617. The cubic root of 4197667914 is about 1613.1299673747.

The spelling of 4197667914 in words is "four billion, one hundred ninety-seven million, six hundred sixty-seven thousand, nine hundred fourteen".