10142563400641 has 16 divisors (see below), whose sum is σ = 11913156304000. Its totient is φ = 8631081661104.

The previous prime is 10142563400611. The next prime is 10142563400663. The reversal of 10142563400641 is 14600436524101.

It is not a de Polignac number, because 10142563400641 - 2³¹ = 10140415916993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10142563400641.

It is not an unprimeable number, because it can be changed into a prime (10142563400611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106319790 + ... + 106415143.

It is an arithmetic number, because the mean of its divisors is an integer number (744572269000).

Almost surely, 2^{10142563400641} is an apocalyptic number.

It is an amenable number.

10142563400641 is a deficient number, since it is larger than the sum of its proper divisors (1770592903359).

10142563400641 is an equidigital number, since it uses as much as digits as its factorization.

10142563400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212735093 (or 212735079 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 10142563400641 its reverse (14600436524101), we get a palindrome (24742999924742).

The spelling of 10142563400641 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, four hundred thousand, six hundred forty-one".