4002005414 has 32 divisors (see below), whose sum is σ = 6623527680. Its totient is φ = 1798394400.

The previous prime is 4002005407. The next prime is 4002005431. The reversal of 4002005414 is 4145002004.

4002005414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4002005414² = 32032094667370622792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252559 + ... + 1255749.

It is an arithmetic number, because the mean of its divisors is an integer number (206985240).

Almost surely, 2^4002005414 is an apocalyptic number.

4002005414 is a deficient number, since it is larger than the sum of its proper divisors (2621522266).

4002005414 is a wasteful number, since it uses less digits than its factorization.

4002005414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836.

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4002005414 is about 63261.4054064562. The cubic root of 4002005414 is about 1587.6662906715. Note that the first 3 decimals are identical.

Adding to 4002005414 its reverse (4145002004), we get a palindrome (8147007418).

The spelling of 4002005414 in words is "four billion, two million, five thousand, four hundred fourteen".