10270736630401 has 9 divisors (see below), whose sum is σ = 11121611997699. Its totient is φ = 9480641508936.

The previous prime is 10270736630377. The next prime is 10270736630411. The reversal of 10270736630401 is 10403663707201.

The square root of 10270736630401 is 3204799.

It is a perfect power (a square), and thus also a powerful number.

10270736630401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1519339738225 + 8751396892176 = 1232615^2 + 2958276^2 .

It is not a de Polignac number, because 10270736630401 - 2⁹ = 10270736629889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10270736630411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41539126 + ... + 41785648.

It is an arithmetic number, because the mean of its divisors is an integer number (1235734666411).

Almost surely, 2^{10270736630401} is an apocalyptic number.

10270736630401 is the 3204799-th square number.

10270736630401 is the 1602400-th centered octagonal number.

It is an amenable number.

10270736630401 is a deficient number, since it is larger than the sum of its proper divisors (850875367298).

10270736630401 is an frugal number, since it uses more digits than its factorization.

10270736630401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493072 (or 246536 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 10270736630401 in words is "ten trillion, two hundred seventy billion, seven hundred thirty-six million, six hundred thirty thousand, four hundred one".