1461441641 has 8 divisors (see below), whose sum is σ = 1628221824. Its totient is φ = 1300315120.

The previous prime is 1461441637. The next prime is 1461441647.

1461441641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1461441641 - 2² = 1461441637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461441598 and 1461441607.

It is not an unprimeable number, because it can be changed into a prime (1461441647) 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 7 ways as a sum of consecutive naturals, for example, 1412870 + ... + 1413903.

It is an arithmetic number, because the mean of its divisors is an integer number (203527728).

Almost surely, 2^1461441641 is an apocalyptic number.

1461441641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461441641 is a deficient number, since it is larger than the sum of its proper divisors (166780183).

1461441641 is a wasteful number, since it uses less digits than its factorization.

1461441641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826831.

The product of its digits is 9216, while the sum is 32.

The square root of 1461441641 is about 38228.8064291837. The cubic root of 1461441641 is about 1134.8204651758.

The spelling of 1461441641 in words is "one billion, four hundred sixty-one million, four hundred forty-one thousand, six hundred forty-one".