110400132400 has 60 divisors (see below), whose sum is σ = 265564146904. Its totient is φ = 44105472000.

The previous prime is 110400132373. The next prime is 110400132407. The reversal of 110400132400 is 4231004011.

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

It is not an unprimeable number, because it can be changed into a prime (110400132407) 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, 154240 + ... + 494560.

Almost surely, 2^110400132400 is an apocalyptic number.

110400132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110400132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132782073452).

110400132400 is an abundant number, since it is smaller than the sum of its proper divisors (155164014504).

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

110400132400 is a wasteful number, since it uses less digits than its factorization.

110400132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341150 (or 341139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110400132400 its reverse (4231004011), we get a palindrome (114631136411).

The spelling of 110400132400 in words is "one hundred ten billion, four hundred million, one hundred thirty-two thousand, four hundred".