1100400011400 has 96 divisors (see below), whose sum is σ = 3483819699840. Its totient is φ = 287196591360.

The previous prime is 1100400011357. The next prime is 1100400011419. The reversal of 1100400011400 is 41100040011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19482439 + ... + 19538838.

It is an arithmetic number, because the mean of its divisors is an integer number (36289788540).

Almost surely, 2^{1100400011400} is an apocalyptic number.

1100400011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100400011400 is an abundant number, since it is smaller than the sum of its proper divisors (2383419688440).

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

1100400011400 is a wasteful number, since it uses less digits than its factorization.

1100400011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39021343 (or 39021334 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100400011400 its reverse (41100040011), we get a palindrome (1141500051411).

The spelling of 1100400011400 in words is "one trillion, one hundred billion, four hundred million, eleven thousand, four hundred".