10013231441440 has 24 divisors (see below), whose sum is σ = 23656259280780. Its totient is φ = 4005292576512.

The previous prime is 10013231441431. The next prime is 10013231441449. The reversal of 10013231441440 is 4414413231001.

It is an interprime number because it is at equal distance from previous prime (10013231441431) and next prime (10013231441449).

It can be written as a sum of positive squares in 2 ways, for example, as 8733608951824 + 1279622489616 = 2955268^2 + 1131204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10013231441399 and 10013231441408.

It is not an unprimeable number, because it can be changed into a prime (10013231441449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31291348095 + ... + 31291348414.

Almost surely, 2^{10013231441440} is an apocalyptic number.

10013231441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013231441440 is an abundant number, since it is smaller than the sum of its proper divisors (13643027839340).

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

10013231441440 is an equidigital number, since it uses as much as digits as its factorization.

10013231441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62582696524 (or 62582696516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10013231441440 its reverse (4414413231001), we get a palindrome (14427644672441).

The spelling of 10013231441440 in words is "ten trillion, thirteen billion, two hundred thirty-one million, four hundred forty-one thousand, four hundred forty".