4135147680 has 96 divisors (see below), whose sum is σ = 13147614144. Its totient is φ = 1092386816.

The previous prime is 4135147663. The next prime is 4135147717. The reversal of 4135147680 is 867415314.

4135147680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11104 + ... + 91616.

It is an arithmetic number, because the mean of its divisors is an integer number (136954314).

Almost surely, 2^4135147680 is an apocalyptic number.

4135147680 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 4135147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573807072).

4135147680 is an abundant number, since it is smaller than the sum of its proper divisors (9012466464).

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

4135147680 is a wasteful number, since it uses less digits than its factorization.

4135147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80638 (or 80630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4135147680 is about 64305.1139490476. The cubic root of 4135147680 is about 1605.0812004609.

The spelling of 4135147680 in words is "four billion, one hundred thirty-five million, one hundred forty-seven thousand, six hundred eighty".