10345224122440 has 16 divisors (see below), whose sum is σ = 23276754275580. Its totient is φ = 4138089648960.

The previous prime is 10345224122269. The next prime is 10345224122449. The reversal of 10345224122440 is 4422142254301.

It can be written as a sum of positive squares in 2 ways, for example, as 9491119146756 + 854104975684 = 3080766^2 + 924178^2 .

It is a super-2 number, since 2×10345224122440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10345224122396 and 10345224122405.

It is not an unprimeable number, because it can be changed into a prime (10345224122449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129315301491 + ... + 129315301570.

Almost surely, 2^{10345224122440} is an apocalyptic number.

10345224122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345224122440 is an abundant number, since it is smaller than the sum of its proper divisors (12931530153140).

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

10345224122440 is a wasteful number, since it uses less digits than its factorization.

10345224122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258630603072 (or 258630603068 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 10345224122440 its reverse (4422142254301), we get a palindrome (14767366376741).

The spelling of 10345224122440 in words is "ten trillion, three hundred forty-five billion, two hundred twenty-four million, one hundred twenty-two thousand, four hundred forty".