1967868441 has 48 divisors (see below), whose sum is σ = 3549087360. Its totient is φ = 1020764160.

The previous prime is 1967868407. The next prime is 1967868443. The reversal of 1967868441 is 1448687691.

1967868441 is a `hidden beast` number, since 196 + 7 + 8 + 6 + 8 + 441 = 666.

It is not a de Polignac number, because 1967868441 - 2¹⁴ = 1967852057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1967868443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589465 + ... + 592793.

It is an arithmetic number, because the mean of its divisors is an integer number (73939320).

Almost surely, 2^1967868441 is an apocalyptic number.

1967868441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1967868441 is a deficient number, since it is larger than the sum of its proper divisors (1581218919).

1967868441 is a wasteful number, since it uses less digits than its factorization.

1967868441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4203 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1967868441 is about 44360.6632164128. The cubic root of 1967868441 is about 1253.1373862711.

The spelling of 1967868441 in words is "one billion, nine hundred sixty-seven million, eight hundred sixty-eight thousand, four hundred forty-one".