10345126505040 has 320 divisors, whose sum is σ = 35963754958080. Its totient is φ = 2733130874880.

The previous prime is 10345126505033. The next prime is 10345126505041. The reversal of 10345126505040 is 4050562154301.

10345126505040 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 512 + 6 + 50 + 50 + 40 = 666.

It is a super-2 number, since 2×10345126505040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10345126504986 and 10345126505004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345126505041) by changing a digit.

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, 684148680 + ... + 684163800.

It is an arithmetic number, because the mean of its divisors is an integer number (112386734244).

Almost surely, 2^{10345126505040} is an apocalyptic number.

10345126505040 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 10345126505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981877479040).

10345126505040 is an abundant number, since it is smaller than the sum of its proper divisors (25618628453040).

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

10345126505040 is a wasteful number, since it uses less digits than its factorization.

10345126505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18059 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10345126505040 its reverse (4050562154301), we get a palindrome (14395688659341).

The spelling of 10345126505040 in words is "ten trillion, three hundred forty-five billion, one hundred twenty-six million, five hundred five thousand, forty".