10010401324032 has 176 divisors, whose sum is σ = 27409162833792. Its totient is φ = 3245825802240.

The previous prime is 10010401323941. The next prime is 10010401324051. The reversal of 10010401324032 is 23042310401001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628667623 + ... + 628683545.

Almost surely, 2^{10010401324032} is an apocalyptic number.

10010401324032 is a gapful number since it is divisible by the number (12) 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 10010401324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704581416896).

10010401324032 is an abundant number, since it is smaller than the sum of its proper divisors (17398761509760).

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

10010401324032 is a wasteful number, since it uses less digits than its factorization.

10010401324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10010401324032 its reverse (23042310401001), we get a palindrome (33052711725033).

The spelling of 10010401324032 in words is "ten trillion, ten billion, four hundred one million, three hundred twenty-four thousand, thirty-two".