490141410200 has 96 divisors (see below), whose sum is σ = 1227459562560. Its totient is φ = 180942720000.

The previous prime is 490141410179. The next prime is 490141410233. The reversal of 490141410200 is 2014141094.

It is a Cunningham number, because it is equal to 700101²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 490141410200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18189137 + ... + 18216063.

It is an arithmetic number, because the mean of its divisors is an integer number (12786037110).

Almost surely, 2^490141410200 is an apocalyptic number.

490141410200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490141410200 is an abundant number, since it is smaller than the sum of its proper divisors (737318152360).

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

490141410200 is a wasteful number, since it uses less digits than its factorization.

490141410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33957 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 490141410200 its reverse (2014141094), we get a palindrome (492155551294).

The spelling of 490141410200 in words is "four hundred ninety billion, one hundred forty-one million, four hundred ten thousand, two hundred".