1198042461 has 128 divisors (see below), whose sum is σ = 2366668800. Its totient is φ = 580608000.

The previous prime is 1198042453. The next prime is 1198042463. The reversal of 1198042461 is 1642408911.

1198042461 is a `hidden beast` number, since 1 + 198 + 0 + 4 + 2 + 461 = 666.

It is not a de Polignac number, because 1198042461 - 2³ = 1198042453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198042463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1868701 + ... + 1869341.

It is an arithmetic number, because the mean of its divisors is an integer number (18489600).

Almost surely, 2^1198042461 is an apocalyptic number.

1198042461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1198042461 is a deficient number, since it is larger than the sum of its proper divisors (1168626339).

1198042461 is a wasteful number, since it uses less digits than its factorization.

1198042461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1198042461 is about 34612.7499774288. The cubic root of 1198042461 is about 1062.0804225860.

It can be divided in two parts, 119804 and 2461, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1198042461 in words is "one billion, one hundred ninety-eight million, forty-two thousand, four hundred sixty-one".