4166712414 has 40 divisors (see below), whose sum is σ = 9340745040. Its totient is φ = 1388276064.

The previous prime is 4166712409. The next prime is 4166712463. The reversal of 4166712414 is 4142176614.

It is a happy number.

It is a super-4 number, since 4×4166712414⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476647 + ... + 485309.

It is an arithmetic number, because the mean of its divisors is an integer number (233518626).

Almost surely, 2^4166712414 is an apocalyptic number.

4166712414 is an abundant number, since it is smaller than the sum of its proper divisors (5174032626).

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

4166712414 is a wasteful number, since it uses less digits than its factorization.

4166712414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646 (or 11637 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4166712414 is about 64550.0767931379. The cubic root of 4166712414 is about 1609.1548634631.

The spelling of 4166712414 in words is "four billion, one hundred sixty-six million, seven hundred twelve thousand, four hundred fourteen".