10413110323140 has 384 divisors, whose sum is σ = 35354227507200. Its totient is φ = 2237037626880.

The previous prime is 10413110323129. The next prime is 10413110323141. The reversal of 10413110323140 is 4132301131401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10413110323140.

It is not an unprimeable number, because it can be changed into a prime (10413110323141) 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, 516846547 + ... + 516866693.

It is an arithmetic number, because the mean of its divisors is an integer number (92068300800).

Almost surely, 2^{10413110323140} is an apocalyptic number.

10413110323140 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 10413110323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677113753600).

10413110323140 is an abundant number, since it is smaller than the sum of its proper divisors (24941117184060).

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

10413110323140 is a wasteful number, since it uses less digits than its factorization.

10413110323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20695 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10413110323140 its reverse (4132301131401), we get a palindrome (14545411454541).

The spelling of 10413110323140 in words is "ten trillion, four hundred thirteen billion, one hundred ten million, three hundred twenty-three thousand, one hundred forty".