1104112110400 has 168 divisors, whose sum is σ = 3097897268760. Its totient is φ = 383691325440.

The previous prime is 1104112110337. The next prime is 1104112110407. The reversal of 1104112110400 is 40112114011.

It can be written as a sum of positive squares in 12 ways, for example, as 683492413696 + 420619696704 = 826736^2 + 648552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104112110407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207645 + ... + 1914844.

It is an arithmetic number, because the mean of its divisors is an integer number (18439864695).

Almost surely, 2^{1104112110400} is an apocalyptic number.

1104112110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104112110400 is an abundant number, since it is smaller than the sum of its proper divisors (1993785158360).

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

1104112110400 is a wasteful number, since it uses less digits than its factorization.

1104112110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122541 (or 3122526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1104112110400 its reverse (40112114011), we get a palindrome (1144224224411).

The spelling of 1104112110400 in words is "one trillion, one hundred four billion, one hundred twelve million, one hundred ten thousand, four hundred".