10243224510400 has 168 divisors, whose sum is σ = 28881426331520. Its totient is φ = 3502694845440.

The previous prime is 10243224510373. The next prime is 10243224510413. The reversal of 10243224510400 is 401542234201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3038239 + ... + 5451361.

Almost surely, 2^{10243224510400} is an apocalyptic number.

10243224510400 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 10243224510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440713165760).

10243224510400 is an abundant number, since it is smaller than the sum of its proper divisors (18638201821120).

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

10243224510400 is a wasteful number, since it uses less digits than its factorization.

10243224510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413531 (or 2413516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10243224510400 its reverse (401542234201), we get a palindrome (10644766744601).

The spelling of 10243224510400 in words is "ten trillion, two hundred forty-three billion, two hundred twenty-four million, five hundred ten thousand, four hundred".