10114342440224 has 72 divisors (see below), whose sum is σ = 21888504097740. Its totient is φ = 4597199861760.

The previous prime is 10114342440149. The next prime is 10114342440233. The reversal of 10114342440224 is 42204424341101.

It can be written as a sum of positive squares in 2 ways, for example, as 7671060830224 + 2443281610000 = 2769668^2 + 1563100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96317732 + ... + 96422684.

Almost surely, 2^{10114342440224} is an apocalyptic number.

It is an amenable number.

10114342440224 is an abundant number, since it is smaller than the sum of its proper divisors (11774161657516).

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

10114342440224 is a wasteful number, since it uses less digits than its factorization.

10114342440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129874 (or 129855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10114342440224 its reverse (42204424341101), we get a palindrome (52318766781325).

The spelling of 10114342440224 in words is "ten trillion, one hundred fourteen billion, three hundred forty-two million, four hundred forty thousand, two hundred twenty-four".