1104010416961 has 27 divisors (see below), whose sum is σ = 1238126457321. Its totient is φ = 984078198144.

The previous prime is 1104010416959. The next prime is 1104010416979. The reversal of 1104010416961 is 1696140104011.

It is a happy number.

The square root of 1104010416961 is 1050719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 792400848561 + 311609568400 = 890169^2 + 558220^2 .

It is not a de Polignac number, because 1104010416961 - 2¹ = 1104010416959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1104010416931) 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, 339380611 + ... + 339383863.

Almost surely, 2^{1104010416961} is an apocalyptic number.

1104010416961 is the 1050719-th square number.

1104010416961 is the 525360-th centered octagonal number.

It is an amenable number.

1104010416961 is a deficient number, since it is larger than the sum of its proper divisors (134116040360).

1104010416961 is an frugal number, since it uses more digits than its factorization.

1104010416961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 1104010416961 in words is "one trillion, one hundred four billion, ten million, four hundred sixteen thousand, nine hundred sixty-one".