10001251344224 has 384 divisors, whose sum is σ = 25084123545600. Its totient is φ = 3828720752640.

The previous prime is 10001251344197. The next prime is 10001251344257. The reversal of 10001251344224 is 42244315210001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420023647 + ... + 1420030689.

It is an arithmetic number, because the mean of its divisors is an integer number (65323238400).

Almost surely, 2^{10001251344224} is an apocalyptic number.

10001251344224 is a gapful number since it is divisible by the number (14) 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 10001251344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542061772800).

10001251344224 is an abundant number, since it is smaller than the sum of its proper divisors (15082872201376).

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

10001251344224 is a wasteful number, since it uses less digits than its factorization.

10001251344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10001251344224 its reverse (42244315210001), we get a palindrome (52245566554225).

The spelling of 10001251344224 in words is "ten trillion, one billion, two hundred fifty-one million, three hundred forty-four thousand, two hundred twenty-four".