10140225032080 has 640 divisors, whose sum is σ = 29600230464000. Its totient is φ = 3175680245760.

The previous prime is 10140225032039. The next prime is 10140225032081. The reversal of 10140225032080 is 8023052204101.

It is not an unprimeable number, because it can be changed into a prime (10140225032081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5668095826 + ... + 5668097614.

It is an arithmetic number, because the mean of its divisors is an integer number (46250360100).

Almost surely, 2^{10140225032080} is an apocalyptic number.

10140225032080 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 10140225032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800115232000).

10140225032080 is an abundant number, since it is smaller than the sum of its proper divisors (19460005431920).

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

10140225032080 is a wasteful number, since it uses less digits than its factorization.

10140225032080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 10140225032080 its reverse (8023052204101), we get a palindrome (18163277236181).

The spelling of 10140225032080 in words is "ten trillion, one hundred forty billion, two hundred twenty-five million, thirty-two thousand, eighty".