9041090400 has 540 divisors, whose sum is σ = 34202053116. Its totient is φ = 2323814400.

The previous prime is 9041090393. The next prime is 9041090411. The reversal of 9041090400 is 40901409.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 108928759 + ... + 108928841.

Almost surely, 2^9041090400 is an apocalyptic number.

9041090400 is a gapful number since it is divisible by the number (90) 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 9041090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17101026558).

9041090400 is an abundant number, since it is smaller than the sum of its proper divisors (25160962716).

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

9041090400 is a wasteful number, since it uses less digits than its factorization.

9041090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9041090400 is about 95084.6486032314. The cubic root of 9041090400 is about 2083.2446278320.

Adding to 9041090400 its reverse (40901409), we get a palindrome (9081991809).

The spelling of 9041090400 in words is "nine billion, forty-one million, ninety thousand, four hundred".