4140135126 has 64 divisors (see below), whose sum is σ = 9555978240. Its totient is φ = 1327246560.

The previous prime is 4140135113. The next prime is 4140135133. The reversal of 4140135126 is 6215310414.

It is a happy number.

4140135126 is a `hidden beast` number, since 4 + 140 + 1 + 3 + 512 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4140135126.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 265276 + ... + 280448.

It is an arithmetic number, because the mean of its divisors is an integer number (149312160).

Almost surely, 2^4140135126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140135126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777989120).

4140135126 is an abundant number, since it is smaller than the sum of its proper divisors (5415843114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140135126 is a wasteful number, since it uses less digits than its factorization.

4140135126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15378 (or 15372 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4140135126 is about 64343.8818070530. The cubic root of 4140135126 is about 1605.7262430872.

The spelling of 4140135126 in words is "four billion, one hundred forty million, one hundred thirty-five thousand, one hundred twenty-six".