4134947457264 has 80 divisors (see below), whose sum is σ = 11504359007232. Its totient is φ = 1272211547904.

The previous prime is 4134947457247. The next prime is 4134947457293. The reversal of 4134947457264 is 4627547494314.

It is a junction number, because it is equal to n+sod(n) for n = 4134947457198 and 4134947457207.

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 15 ways as a sum of consecutive naturals, for example, 10137817 + ... + 10537799.

Almost surely, 2^{4134947457264} is an apocalyptic number.

It is an amenable number.

4134947457264 is an abundant number, since it is smaller than the sum of its proper divisors (7369411549968).

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

4134947457264 is a wasteful number, since it uses less digits than its factorization.

4134947457264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416574 (or 416568 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 60.

The spelling of 4134947457264 in words is "four trillion, one hundred thirty-four billion, nine hundred forty-seven million, four hundred fifty-seven thousand, two hundred sixty-four".