1123444410400 has 72 divisors (see below), whose sum is σ = 2953578591684. Its totient is φ = 414810240000.

The previous prime is 1123444410337. The next prime is 1123444410433. The reversal of 1123444410400 is 40144443211.

It can be written as a sum of positive squares in 6 ways, for example, as 204814174096 + 918630236304 = 452564^2 + 958452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54001351 + ... + 54022150.

Almost surely, 2^{1123444410400} is an apocalyptic number.

1123444410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123444410400 is an abundant number, since it is smaller than the sum of its proper divisors (1830134181284).

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

1123444410400 is a wasteful number, since it uses less digits than its factorization.

1123444410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108023534 (or 108023521 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1123444410400 its reverse (40144443211), we get a palindrome (1163588853611).

The spelling of 1123444410400 in words is "one trillion, one hundred twenty-three billion, four hundred forty-four million, four hundred ten thousand, four hundred".