4001629129 has 2 divisors, whose sum is σ = 4001629130. Its totient is φ = 4001629128.

The previous prime is 4001629123. The next prime is 4001629147. The reversal of 4001629129 is 9219261004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2350019529 + 1651609600 = 48477^2 + 40640^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001629129 - 2¹⁷ = 4001498057 is a prime.

It is a super-2 number, since 2×4001629129² = 32026071372122597282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001629094 and 4001629103.

It is not a weakly prime, because it can be changed into another prime (4001629123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000814564 + 2000814565.

It is an arithmetic number, because the mean of its divisors is an integer number (2000814565).

Almost surely, 2^4001629129 is an apocalyptic number.

It is an amenable number.

4001629129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001629129 is an equidigital number, since it uses as much as digits as its factorization.

4001629129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 4001629129 is about 63258.4312878528. The cubic root of 4001629129 is about 1587.6165294748.

The spelling of 4001629129 in words is "four billion, one million, six hundred twenty-nine thousand, one hundred twenty-nine".