10345112110240 has 48 divisors (see below), whose sum is σ = 24454730080872. Its totient is φ = 4135606288384.

The previous prime is 10345112110189. The next prime is 10345112110261. The reversal of 10345112110240 is 4201121154301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10207539365776 + 137572744464 = 3194924^2 + 370908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18778849 + ... + 19321888.

Almost surely, 2^{10345112110240} is an apocalyptic number.

10345112110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345112110240 is an abundant number, since it is smaller than the sum of its proper divisors (14109617970632).

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

10345112110240 is a wasteful number, since it uses less digits than its factorization.

10345112110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38102449 (or 38102441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10345112110240 its reverse (4201121154301), we get a palindrome (14546233264541).

The spelling of 10345112110240 in words is "ten trillion, three hundred forty-five billion, one hundred twelve million, one hundred ten thousand, two hundred forty".