4140157905 has 48 divisors (see below), whose sum is σ = 7739331600. Its totient is φ = 2035321344.

The previous prime is 4140157897. The next prime is 4140157907. The reversal of 4140157905 is 5097510414.

4140157905 is a `hidden beast` number, since 41 + 40 + 1 + 579 + 0 + 5 = 666.

4140157905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7569 + 4140150336 = 87^2 + 64344^2 .

It is not a de Polignac number, because 4140157905 - 2³ = 4140157897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140157905.

It is not an unprimeable number, because it can be changed into a prime (4140157907) 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 47 ways as a sum of consecutive naturals, for example, 438171 + ... + 447519.

It is an arithmetic number, because the mean of its divisors is an integer number (161236075).

Almost surely, 2^4140157905 is an apocalyptic number.

4140157905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4140157905 is a deficient number, since it is larger than the sum of its proper divisors (3599173695).

4140157905 is a wasteful number, since it uses less digits than its factorization.

4140157905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4140157905 is about 64344.0588166460. The cubic root of 4140157905 is about 1605.7291879807.

The spelling of 4140157905 in words is "four billion, one hundred forty million, one hundred fifty-seven thousand, nine hundred five".