4135938768 has 120 divisors (see below), whose sum is σ = 12594320648. Its totient is φ = 1259421696.

The previous prime is 4135938767. The next prime is 4135938809. The reversal of 4135938768 is 8678395314.

4135938768 is a `hidden beast` number, since 41 + 3 + 593 + 8 + 7 + 6 + 8 = 666.

4135938768 is digitally balanced in base 2, 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 4 ways, for example, as 641710224 + 3494228544 = 25332^2 + 59112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135938767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170196 + ... + 192972.

Almost surely, 2^4135938768 is an apocalyptic number.

4135938768 is a gapful number since it is divisible by the number (48) 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 4135938768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297160324).

4135938768 is an abundant number, since it is smaller than the sum of its proper divisors (8458381880).

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

4135938768 is a wasteful number, since it uses less digits than its factorization.

4135938768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22901 (or 22892 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4135938768 is about 64311.2647053376. The cubic root of 4135938768 is about 1605.1835490436.

It can be divided in two parts, 413 and 5938768, that added together give a triangular number (5939181 = T₃₄₄₆).

The spelling of 4135938768 in words is "four billion, one hundred thirty-five million, nine hundred thirty-eight thousand, seven hundred sixty-eight".