4135121640 has 192 divisors, whose sum is σ = 14623736400. Its totient is φ = 1007271936.

The previous prime is 4135121609. The next prime is 4135121647. The reversal of 4135121640 is 461215314.

It is a happy number.

4135121640 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 12 + 1 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 298805796 + 3836315844 = 17286^2 + 61938^2 .

It is not an unprimeable number, because it can be changed into a prime (4135121647) 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, 449406 + ... + 458514.

Almost surely, 2^4135121640 is an apocalyptic number.

4135121640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311868200).

4135121640 is an abundant number, since it is smaller than the sum of its proper divisors (10488614760).

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

4135121640 is a wasteful number, since it uses less digits than its factorization.

4135121640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9229 counting only the distinct ones).

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

The square root of 4135121640 is about 64304.9114764961. The cubic root of 4135121640 is about 1605.0778312622.

Adding to 4135121640 its reverse (461215314), we get a palindrome (4596336954).

The spelling of 4135121640 in words is "four billion, one hundred thirty-five million, one hundred twenty-one thousand, six hundred forty".