9041042400 has 576 divisors, whose sum is σ = 33954826752. Its totient is φ = 2072125440.

The previous prime is 9041042363. The next prime is 9041042429. The reversal of 9041042400 is 42401409.

9041042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30856654 + ... + 30856946.

It is an arithmetic number, because the mean of its divisors is an integer number (58949352).

Almost surely, 2^9041042400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9041042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977413376).

9041042400 is an abundant number, since it is smaller than the sum of its proper divisors (24913784352).

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

9041042400 is a wasteful number, since it uses less digits than its factorization.

9041042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 9041042400 is about 95084.3961962214. The cubic root of 9041042400 is about 2083.2409411115.

Adding to 9041042400 its reverse (42401409), we get a palindrome (9083443809).

The spelling of 9041042400 in words is "nine billion, forty-one million, forty-two thousand, four hundred".