4000738429 has 2 divisors, whose sum is σ = 4000738430. Its totient is φ = 4000738428.

The previous prime is 4000738421. The next prime is 4000738451. The reversal of 4000738429 is 9248370004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3651422329 + 349316100 = 60427^2 + 18690^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000738429 - 2³ = 4000738421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000738421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000369214 + 2000369215.

It is an arithmetic number, because the mean of its divisors is an integer number (2000369215).

Almost surely, 2^4000738429 is an apocalyptic number.

It is an amenable number.

4000738429 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000738429 is an equidigital number, since it uses as much as digits as its factorization.

4000738429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4000738429 is about 63251.3907277935. The cubic root of 4000738429 is about 1587.4987278722.

The spelling of 4000738429 in words is "four billion, seven hundred thirty-eight thousand, four hundred twenty-nine".