10800441400 has 192 divisors, whose sum is σ = 29765594880. Its totient is φ = 3567590400.

The previous prime is 10800441383. The next prime is 10800441401. The reversal of 10800441400 is 414400801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4763067 + ... + 4765333.

It is an arithmetic number, because the mean of its divisors is an integer number (155029140).

Almost surely, 2^10800441400 is an apocalyptic number.

10800441400 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 10800441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882797440).

10800441400 is an abundant number, since it is smaller than the sum of its proper divisors (18965153480).

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

10800441400 is a wasteful number, since it uses less digits than its factorization.

10800441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 10800441400 in words is "ten billion, eight hundred million, four hundred forty-one thousand, four hundred".