9041290200 has 384 divisors, whose sum is σ = 33245640000. Its totient is φ = 2250547200.

The previous prime is 9041290187. The next prime is 9041290211. The reversal of 9041290200 is 20921409.

9041290200 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 (27).

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, 13677870 + ... + 13678530.

Almost surely, 2^9041290200 is an apocalyptic number.

9041290200 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 9041290200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622820000).

9041290200 is an abundant number, since it is smaller than the sum of its proper divisors (24204349800).

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

9041290200 is a wasteful number, since it uses less digits than its factorization.

9041290200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

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

The square root of 9041290200 is about 95085.6992402117. The cubic root of 9041290200 is about 2083.2599736657.

The spelling of 9041290200 in words is "nine billion, forty-one million, two hundred ninety thousand, two hundred".