1110100440400 has 60 divisors (see below), whose sum is σ = 3048018645472. Its totient is φ = 380605864320.

The previous prime is 1110100440391. The next prime is 1110100440403. The reversal of 1110100440400 is 40440010111.

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 (1110100440403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198229422 + ... + 198235021.

Almost surely, 2^{1110100440400} is an apocalyptic number.

1110100440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110100440400 is an abundant number, since it is smaller than the sum of its proper divisors (1937918205072).

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

1110100440400 is a wasteful number, since it uses less digits than its factorization.

1110100440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396464468 (or 396464457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1110100440400 its reverse (40440010111), we get a palindrome (1150540450511).

The spelling of 1110100440400 in words is "one trillion, one hundred ten billion, one hundred million, four hundred forty thousand, four hundred".