10140241164064 has 144 divisors (see below), whose sum is σ = 22705628702400. Its totient is φ = 4449185072640.

The previous prime is 10140241164029. The next prime is 10140241164073. The reversal of 10140241164064 is 46046114204101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620607607 + ... + 620623945.

It is an arithmetic number, because the mean of its divisors is an integer number (157677977100).

Almost surely, 2^{10140241164064} 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 10140241164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352814351200).

10140241164064 is an abundant number, since it is smaller than the sum of its proper divisors (12565387538336).

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

10140241164064 is a wasteful number, since it uses less digits than its factorization.

10140241164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21908 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 10140241164064 its reverse (46046114204101), we get a palindrome (56186355368165).

The spelling of 10140241164064 in words is "ten trillion, one hundred forty billion, two hundred forty-one million, one hundred sixty-four thousand, sixty-four".