4000757929 has 6 divisors (see below), whose sum is σ = 4653942954. Its totient is φ = 3429221040.

The previous prime is 4000757911. The next prime is 4000757939. The reversal of 4000757929 is 9297570004.

It can be written as a sum of positive squares in only one way, i.e., 3915380329 + 85377600 = 62573^2 + 9240^2 .

It is not a de Polignac number, because 4000757929 - 2⁵ = 4000757897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000757939) 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 5 ways as a sum of consecutive naturals, for example, 40824012 + ... + 40824109.

It is an arithmetic number, because the mean of its divisors is an integer number (775657159).

Almost surely, 2^4000757929 is an apocalyptic number.

4000757929 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4000757929 is a deficient number, since it is larger than the sum of its proper divisors (653185025).

4000757929 is an equidigital number, since it uses as much as digits as its factorization.

4000757929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81648135 (or 81648128 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 4000757929 is about 63251.5448744139. The cubic root of 4000757929 is about 1587.5013070773.

The spelling of 4000757929 in words is "four billion, seven hundred fifty-seven thousand, nine hundred twenty-nine".