4142729825 has 12 divisors (see below), whose sum is σ = 5532138108. Its totient is φ = 3059246400.

The previous prime is 4142729821. The next prime is 4142729849. The reversal of 4142729825 is 5289272414.

It can be written as a sum of positive squares in 6 ways, for example, as 5329 + 4142724496 = 73^2 + 64364^2 .

It is not a de Polignac number, because 4142729825 - 2² = 4142729821 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142729821) 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 11 ways as a sum of consecutive naturals, for example, 6373106 + ... + 6373755.

It is an arithmetic number, because the mean of its divisors is an integer number (461011509).

Almost surely, 2^4142729825 is an apocalyptic number.

It is an amenable number.

4142729825 is a deficient number, since it is larger than the sum of its proper divisors (1389408283).

4142729825 is a wasteful number, since it uses less digits than its factorization.

4142729825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746884 (or 12746879 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 4142729825 is about 64364.0413973517. The cubic root of 4142729825 is about 1606.0616191133.

The spelling of 4142729825 in words is "four billion, one hundred forty-two million, seven hundred twenty-nine thousand, eight hundred twenty-five".