290104144200 has 1152 divisors, whose sum is σ = 1131447582720. Its totient is φ = 66102220800.

The previous prime is 290104144177. The next prime is 290104144207. The reversal of 290104144200 is 2441401092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290104144207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2284284537 + ... + 2284284663.

It is an arithmetic number, because the mean of its divisors is an integer number (982159360).

Almost surely, 2^290104144200 is an apocalyptic number.

290104144200 is a gapful number since it is divisible by the number (20) 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 290104144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565723791360).

290104144200 is an abundant number, since it is smaller than the sum of its proper divisors (841343438520).

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

290104144200 is a wasteful number, since it uses less digits than its factorization.

290104144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 290104144200 its reverse (2441401092), we get a palindrome (292545545292).

The spelling of 290104144200 in words is "two hundred ninety billion, one hundred four million, one hundred forty-four thousand, two hundred".