1104279417409 has 81 divisors (see below), whose sum is σ = 1378102249251. Its totient is φ = 882207073440.

The previous prime is 1104279417299. The next prime is 1104279417443. The reversal of 1104279417409 is 9047149724011.

The square root of 1104279417409 is 1050847.

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

It can be written as a sum of positive squares in only one way, i.e., 35909113009 + 1068370304400 = 189497^2 + 1033620^2 .

It is not a de Polignac number, because 1104279417409 - 2⁹ = 1104279416897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1104279417469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10320368334 + ... + 10320368440.

Almost surely, 2^{1104279417409} is an apocalyptic number.

1104279417409 is the 1050847-th square number.

1104279417409 is the 525424-th centered octagonal number.

It is an amenable number.

1104279417409 is a deficient number, since it is larger than the sum of its proper divisors (273822831842).

1104279417409 is an frugal number, since it uses more digits than its factorization.

1104279417409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 1104279417409 by its sum of digits (49), we get a square (54109691453041 = 7355929²).

1104279417409 divided by its sum of digits (49) gives a square (22536314641 = 150121²).

The spelling of 1104279417409 in words is "one trillion, one hundred four billion, two hundred seventy-nine million, four hundred seventeen thousand, four hundred nine".