4005261416 has 32 divisors (see below), whose sum is σ = 8259632640. Its totient is φ = 1809248448.

The previous prime is 4005261413. The next prime is 4005261419. The reversal of 4005261416 is 6141625004.

It is an interprime number because it is at equal distance from previous prime (4005261413) and next prime (4005261419).

It is not an unprimeable number, because it can be changed into a prime (4005261413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404816 + ... + 414591.

It is an arithmetic number, because the mean of its divisors is an integer number (258113520).

Almost surely, 2^4005261416 is an apocalyptic number.

It is an amenable number.

4005261416 is an abundant number, since it is smaller than the sum of its proper divisors (4254371224).

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

4005261416 is a wasteful number, since it uses less digits than its factorization.

4005261416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819473 (or 819469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4005261416 is about 63287.1346799648. The cubic root of 4005261416 is about 1588.0967451375.

The spelling of 4005261416 in words is "four billion, five million, two hundred sixty-one thousand, four hundred sixteen".