10043404800 has 960 divisors, whose sum is σ = 40917381120. Its totient is φ = 2138112000.

The previous prime is 10043404793. The next prime is 10043404843. The reversal of 10043404800 is 840434001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 170227171 + ... + 170227229.

It is an arithmetic number, because the mean of its divisors is an integer number (42622272).

Almost surely, 2^10043404800 is an apocalyptic number.

10043404800 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 10043404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458690560).

10043404800 is an abundant number, since it is smaller than the sum of its proper divisors (30873976320).

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

10043404800 is a wasteful number, since it uses less digits than its factorization.

10043404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10043404800 its reverse (840434001), we get a palindrome (10883838801).

The spelling of 10043404800 in words is "ten billion, forty-three million, four hundred four thousand, eight hundred".