13932122327040 has 1152 divisors, whose sum is σ = 48528305280000. Its totient is φ = 3410476793856.

The previous prime is 13932122327003. The next prime is 13932122327087. The reversal of 13932122327040 is 4072322123931.

It is a self number, because there is not a number n which added to its sum of digits gives 13932122327040.

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 95 ways as a sum of consecutive naturals, for example, 70010664861 + ... + 70010665059.

It is an arithmetic number, because the mean of its divisors is an integer number (42125265000).

Almost surely, 2^{13932122327040} is an apocalyptic number.

13932122327040 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 13932122327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264152640000).

13932122327040 is an abundant number, since it is smaller than the sum of its proper divisors (34596182952960).

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

13932122327040 is a wasteful number, since it uses less digits than its factorization.

13932122327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 13932122327040 in words is "thirteen trillion, nine hundred thirty-two billion, one hundred twenty-two million, three hundred twenty-seven thousand, forty".