4005106404 has 48 divisors (see below), whose sum is σ = 10073098560. Its totient is φ = 1231240320.

The previous prime is 4005106373. The next prime is 4005106409. The reversal of 4005106404 is 4046015004.

It is a super-2 number, since 2×4005106404² = 32081754614723622432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005106409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173367 + ... + 195105.

It is an arithmetic number, because the mean of its divisors is an integer number (209856220).

Almost surely, 2^4005106404 is an apocalyptic number.

It is an amenable number.

4005106404 is an abundant number, since it is smaller than the sum of its proper divisors (6067992156).

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

4005106404 is a wasteful number, since it uses less digits than its factorization.

4005106404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22940 (or 22938 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4005106404 is about 63285.9099958277. The cubic root of 4005106404 is about 1588.0762573172.

The spelling of 4005106404 in words is "four billion, five million, one hundred six thousand, four hundred four".