10140432032064 has 336 divisors, whose sum is σ = 28517616254976. Its totient is φ = 3179569075200.

The previous prime is 10140432032051. The next prime is 10140432032149. The reversal of 10140432032064 is 46023023404101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6893562849 + ... + 6893564319.

Almost surely, 2^{10140432032064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140432032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258808127488).

10140432032064 is an abundant number, since it is smaller than the sum of its proper divisors (18377184222912).

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

10140432032064 is a wasteful number, since it uses less digits than its factorization.

10140432032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10140432032064 its reverse (46023023404101), we get a palindrome (56163455436165).

The spelling of 10140432032064 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, thirty-two thousand, sixty-four".