1013124310440 has 512 divisors, whose sum is σ = 3485234995200. Its totient is φ = 233424322560.

The previous prime is 1013124310423. The next prime is 1013124310447. The reversal of 1013124310440 is 440134213101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013124310440.

It is not an unprimeable number, because it can be changed into a prime (1013124310447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 374259567 + ... + 374262273.

It is an arithmetic number, because the mean of its divisors is an integer number (6807099600).

Almost surely, 2^{1013124310440} is an apocalyptic number.

1013124310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013124310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742617497600).

1013124310440 is an abundant number, since it is smaller than the sum of its proper divisors (2472110684760).

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

1013124310440 is a wasteful number, since it uses less digits than its factorization.

1013124310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1013124310440 its reverse (440134213101), we get a palindrome (1453258523541).

The spelling of 1013124310440 in words is "one trillion, thirteen billion, one hundred twenty-four million, three hundred ten thousand, four hundred forty".