10015413144 has 64 divisors (see below), whose sum is σ = 27570119040. Its totient is φ = 3006600960.

The previous prime is 10015413137. The next prime is 10015413151. The reversal of 10015413144 is 44131451001.

It is a happy number.

10015413144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10015413137) and next prime (10015413151).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149029 + ... + 205524.

It is an arithmetic number, because the mean of its divisors is an integer number (430783110).

Almost surely, 2^10015413144 is an apocalyptic number.

It is an amenable number.

10015413144 is an abundant number, since it is smaller than the sum of its proper divisors (17554705896).

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

10015413144 is a wasteful number, since it uses less digits than its factorization.

10015413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354680 (or 354676 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10015413144 its reverse (44131451001), we get a palindrome (54146864145).

It can be divided in two parts, 1001 and 5413144, that added together give a palindrome (5414145).

The spelling of 10015413144 in words is "ten billion, fifteen million, four hundred thirteen thousand, one hundred forty-four".