10113400442040 has 256 divisors, whose sum is σ = 34824542699520. Its totient is φ = 2301638976000.

The previous prime is 10113400442039. The next prime is 10113400442063. The reversal of 10113400442040 is 4024400431101.

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 10113400442040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806035047 + ... + 806047593.

It is an arithmetic number, because the mean of its divisors is an integer number (136033369920).

Almost surely, 2^{10113400442040} is an apocalyptic number.

10113400442040 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 10113400442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412271349760).

10113400442040 is an abundant number, since it is smaller than the sum of its proper divisors (24711142257480).

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

10113400442040 is a wasteful number, since it uses less digits than its factorization.

10113400442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10113400442040 its reverse (4024400431101), we get a palindrome (14137800873141).

The spelling of 10113400442040 in words is "ten trillion, one hundred thirteen billion, four hundred million, four hundred forty-two thousand, forty".