4004146406 has 48 divisors (see below), whose sum is σ = 7020963360. Its totient is φ = 1706664960.

The previous prime is 4004146397. The next prime is 4004146409. The reversal of 4004146406 is 6046414004.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004146409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216566 + ... + 234326.

It is an arithmetic number, because the mean of its divisors is an integer number (146270070).

Almost surely, 2^4004146406 is an apocalyptic number.

4004146406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4004146406 is a deficient number, since it is larger than the sum of its proper divisors (3016816954).

4004146406 is a wasteful number, since it uses less digits than its factorization.

4004146406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17841 (or 17828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4004146406 is about 63278.3249304215. The cubic root of 4004146406 is about 1587.9493633222.

The spelling of 4004146406 in words is "four billion, four million, one hundred forty-six thousand, four hundred six".