10439116800 has 864 divisors, whose sum is σ = 42836320800. Its totient is φ = 2229534720.

The previous prime is 10439116799. The next prime is 10439116811. The reversal of 10439116800 is 861193401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143001564 + ... + 143001636.

It is an arithmetic number, because the mean of its divisors is an integer number (49579075).

Almost surely, 2^10439116800 is an apocalyptic number.

10439116800 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 10439116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418160400).

10439116800 is an abundant number, since it is smaller than the sum of its proper divisors (32397204000).

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

10439116800 is a wasteful number, since it uses less digits than its factorization.

10439116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10439116800 in words is "ten billion, four hundred thirty-nine million, one hundred sixteen thousand, eight hundred".