10324133432340 has 384 divisors, whose sum is σ = 36349219200000. Its totient is φ = 2175604365312.

The previous prime is 10324133432339. The next prime is 10324133432357. The reversal of 10324133432340 is 4323433142301.

It is a happy number.

It is a super-2 number, since 2×10324133432340² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 221767386 + ... + 221813934.

It is an arithmetic number, because the mean of its divisors is an integer number (94659425000).

Almost surely, 2^{10324133432340} is an apocalyptic number.

10324133432340 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 10324133432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174609600000).

10324133432340 is an abundant number, since it is smaller than the sum of its proper divisors (26025085767660).

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

10324133432340 is a wasteful number, since it uses less digits than its factorization.

10324133432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47424 (or 47408 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 10324133432340 its reverse (4323433142301), we get a palindrome (14647566574641).

The spelling of 10324133432340 in words is "ten trillion, three hundred twenty-four billion, one hundred thirty-three million, four hundred thirty-two thousand, three hundred forty".