10540040224 has 96 divisors (see below), whose sum is σ = 24500157696. Its totient is φ = 4369075200.

The previous prime is 10540040201. The next prime is 10540040233. The reversal of 10540040224 is 42204004501.

It is a happy number.

It is a super-2 number, since 2×10540040224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540040195 and 10540040204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430149 + ... + 1437499.

It is an arithmetic number, because the mean of its divisors is an integer number (255209976).

Almost surely, 2^10540040224 is an apocalyptic number.

10540040224 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 10540040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250078848).

10540040224 is an abundant number, since it is smaller than the sum of its proper divisors (13960117472).

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

10540040224 is a wasteful number, since it uses less digits than its factorization.

10540040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10540040224 its reverse (42204004501), we get a palindrome (52744044725).

The spelling of 10540040224 in words is "ten billion, five hundred forty million, forty thousand, two hundred twenty-four".