1042564041 has 28 divisors (see below), whose sum is σ = 1566352068. Its totient is φ = 693611424.

The previous prime is 1042564037. The next prime is 1042564063. The reversal of 1042564041 is 1404652401.

1042564041 is a `hidden beast` number, since 1 + 0 + 4 + 256 + 404 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116640000 + 925924041 = 10800^2 + 30429^2 .

It is not a de Polignac number, because 1042564041 - 2² = 1042564037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1042563996 and 1042564014.

It is not an unprimeable number, because it can be changed into a prime (1042564001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 445711 + ... + 448043.

Almost surely, 2^1042564041 is an apocalyptic number.

It is an amenable number.

1042564041 is a deficient number, since it is larger than the sum of its proper divisors (523788027).

1042564041 is an frugal number, since it uses more digits than its factorization.

1042564041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1042564041 is about 32288.7602889922. The cubic root of 1042564041 is about 1013.9913430163.

The spelling of 1042564041 in words is "one billion, forty-two million, five hundred sixty-four thousand, forty-one".