1264864041 has 24 divisors (see below), whose sum is σ = 2089436544. Its totient is φ = 722292480.

The previous prime is 1264863983. The next prime is 1264864061. The reversal of 1264864041 is 1404684621.

It is a happy number.

1264864041 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 640 + 4 + 1 = 666.

It is not a de Polignac number, because 1264864041 - 2¹⁴ = 1264847657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1264863987 and 1264864005.

It is not an unprimeable number, because it can be changed into a prime (1264864061) 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, 100996 + ... + 112826.

It is an arithmetic number, because the mean of its divisors is an integer number (87059856).

Almost surely, 2^1264864041 is an apocalyptic number.

It is an amenable number.

1264864041 is a deficient number, since it is larger than the sum of its proper divisors (824572503).

1264864041 is a wasteful number, since it uses less digits than its factorization.

1264864041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1264864041 is about 35564.9271192842. The cubic root of 1264864041 is about 1081.4703455684.

The spelling of 1264864041 in words is "one billion, two hundred sixty-four million, eight hundred sixty-four thousand, forty-one".