4004133414 has 64 divisors (see below), whose sum is σ = 8783216640. Its totient is φ = 1213349760.

The previous prime is 4004133401. The next prime is 4004133461. The reversal of 4004133414 is 4143314004.

It is a super-2 number, since 2×4004133414² = 32066168794222590792, 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 31 ways as a sum of consecutive naturals, for example, 189547 + ... + 209609.

It is an arithmetic number, because the mean of its divisors is an integer number (137237760).

Almost surely, 2^4004133414 is an apocalyptic number.

4004133414 is an abundant number, since it is smaller than the sum of its proper divisors (4779083226).

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

4004133414 is a wasteful number, since it uses less digits than its factorization.

4004133414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20165.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4004133414 is about 63278.2222727535. Note that the first 4 decimals coincide. The cubic root of 4004133414 is about 1587.9476458808.

Adding to 4004133414 its reverse (4143314004), we get a palindrome (8147447418).

The spelling of 4004133414 in words is "four billion, four million, one hundred thirty-three thousand, four hundred fourteen".