10324501304040 has 768 divisors, whose sum is σ = 44429680189440. Its totient is φ = 2013023232000.

The previous prime is 10324501304009. The next prime is 10324501304059. The reversal of 10324501304040 is 4040310542301.

It is a happy number.

10324501304040 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 450 + 130 + 40 + 40 = 666.

It is a super-3 number, since 3×10324501304040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10324501303995 and 10324501304013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155947345 + ... + 156013535.

It is an arithmetic number, because the mean of its divisors is an integer number (57851146080).

Almost surely, 2^{10324501304040} is an apocalyptic number.

10324501304040 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 10324501304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22214840094720).

10324501304040 is an abundant number, since it is smaller than the sum of its proper divisors (34105178885400).

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

10324501304040 is a wasteful number, since it uses less digits than its factorization.

10324501304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66574 (or 66567 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10324501304040 its reverse (4040310542301), we get a palindrome (14364811846341).

The spelling of 10324501304040 in words is "ten trillion, three hundred twenty-four billion, five hundred one million, three hundred four thousand, forty".