1104558960400 has 135 divisors (see below), whose sum is σ = 3087371784789. Its totient is φ = 378655482240.

The previous prime is 1104558960397. The next prime is 1104558960403. The reversal of 1104558960400 is 40698554011.

The square root of 1104558960400 is 1050980.

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

It is an interprime number because it is at equal distance from previous prime (1104558960397) and next prime (1104558960403).

It can be written as a sum of positive squares in only one way, i.e., 397641225744 + 706917734656 = 630588^2 + 840784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1104558960403) 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, 147133447 + ... + 147140953.

Almost surely, 2^{1104558960400} is an apocalyptic number.

1104558960400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1104558960400 is the 1050980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104558960400

1104558960400 is an abundant number, since it is smaller than the sum of its proper divisors (1982812824389).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1104558960400 is an frugal number, since it uses more digits than its factorization.

1104558960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15046 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 1104558960400 in words is "one trillion, one hundred four billion, five hundred fifty-eight million, nine hundred sixty thousand, four hundred".