10410353142200 has 192 divisors, whose sum is σ = 26910532437120. Its totient is φ = 3713067072000.

The previous prime is 10410353142173. The next prime is 10410353142221. The reversal of 10410353142200 is 224135301401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10410353142200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469537115 + ... + 469559285.

It is an arithmetic number, because the mean of its divisors is an integer number (140159023110).

Almost surely, 2^{10410353142200} is an apocalyptic number.

10410353142200 is a gapful number since it is divisible by the number (10) 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 10410353142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455266218560).

10410353142200 is an abundant number, since it is smaller than the sum of its proper divisors (16500179294920).

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

10410353142200 is a wasteful number, since it uses less digits than its factorization.

10410353142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10410353142200 its reverse (224135301401), we get a palindrome (10634488443601).

The spelling of 10410353142200 in words is "ten trillion, four hundred ten billion, three hundred fifty-three million, one hundred forty-two thousand, two hundred".