10438300224 has 441 divisors, whose sum is σ = 34948306659. Its totient is φ = 3089560320.

The previous prime is 10438300153. The next prime is 10438300247. The reversal of 10438300224 is 42200383401.

The square root of 10438300224 is 102168.

It is a perfect power (a square), and thus also a powerful number.

10438300224 is a `hidden beast` number, since 1 + 0 + 438 + 3 + 0 + 0 + 224 = 666.

It is a super-2 number, since 2×10438300224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 242751147 + ... + 242751189.

Almost surely, 2^10438300224 is an apocalyptic number.

10438300224 is the 102168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438300224

10438300224 is an abundant number, since it is smaller than the sum of its proper divisors (24510006435).

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

10438300224 is an frugal number, since it uses more digits than its factorization.

10438300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10438300224 its reverse (42200383401), we get a palindrome (52638683625).

The spelling of 10438300224 in words is "ten billion, four hundred thirty-eight million, three hundred thousand, two hundred twenty-four".