10120240013440 has 32 divisors (see below), whose sum is σ = 24193698783660. Its totient is φ = 4048096005120.

The previous prime is 10120240013419. The next prime is 10120240013447. The reversal of 10120240013440 is 4431004202101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9924868941376 + 195371072064 = 3150376^2 + 442008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10120240013447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7906436871 + ... + 7906438150.

Almost surely, 2^{10120240013440} is an apocalyptic number.

10120240013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120240013440 is an abundant number, since it is smaller than the sum of its proper divisors (14073458770220).

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

10120240013440 is an equidigital number, since it uses as much as digits as its factorization.

10120240013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812875040 (or 15812875028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10120240013440 its reverse (4431004202101), we get a palindrome (14551244215541).

The spelling of 10120240013440 in words is "ten trillion, one hundred twenty billion, two hundred forty million, thirteen thousand, four hundred forty".