1864426041 has 27 divisors (see below), whose sum is σ = 2774945901. Its totient is φ = 1206248544.

The previous prime is 1864426027. The next prime is 1864426073. The reversal of 1864426041 is 1406244681.

It is a happy number.

The square root of 1864426041 is 43179.

It is a perfect power (a square), and thus also a powerful number.

1864426041 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 42 + 604 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57836025 + 1806590016 = 7605^2 + 42504^2 .

It is not a de Polignac number, because 1864426041 - 2⁵ = 1864426009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1864425987 and 1864426005.

It is not an unprimeable number, because it can be changed into a prime (1864426001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4792675 + ... + 4793063.

Almost surely, 2^1864426041 is an apocalyptic number.

1864426041 is the 43179-th square number.

1864426041 is the 21590-th centered octagonal number.

It is an amenable number.

1864426041 is a deficient number, since it is larger than the sum of its proper divisors (910519860).

1864426041 is an frugal number, since it uses more digits than its factorization.

1864426041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

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

The cubic root of 1864426041 is about 1230.7836548867.

Multiplying 1864426041 by its sum of digits (36), we get a square (67119337476 = 259074²).

Multiplying 1864426041 by its product of nonzero digits (36864), we get a square (68730201575424 = 8290368²).

The spelling of 1864426041 in words is "one billion, eight hundred sixty-four million, four hundred twenty-six thousand, forty-one".