10415045200 has 240 divisors, whose sum is σ = 29847645184. Its totient is φ = 3417292800.

The previous prime is 10415045191. The next prime is 10415045243. The reversal of 10415045200 is 254051401.

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, 8418982 + ... + 8420218.

Almost surely, 2^10415045200 is an apocalyptic number.

10415045200 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 10415045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923822592).

10415045200 is an abundant number, since it is smaller than the sum of its proper divisors (19432599984).

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

10415045200 is a wasteful number, since it uses less digits than its factorization.

10415045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 10415045200 its reverse (254051401), we get a palindrome (10669096601).

The spelling of 10415045200 in words is "ten billion, four hundred fifteen million, forty-five thousand, two hundred".