10510427836441 has 9 divisors (see below), whose sum is σ = 11381159803359. Its totient is φ = 9701894483736.

The previous prime is 10510427836423. The next prime is 10510427836463. The reversal of 10510427836441 is 14463872401501.

The square root of 10510427836441 is 3241979.

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

It can be written as a sum of positive squares in only one way, i.e., 1554797017225 + 8955630819216 = 1246915^2 + 2992596^2 .

It is not a de Polignac number, because 10510427836441 - 2³¹ = 10508280352793 is a prime.

It is a super-2 number, since 2×10510427836441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10510427836391 and 10510427836400.

It is not an unprimeable number, because it can be changed into a prime (10510427839441) 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, 42021036 + ... + 42270418.

Almost surely, 2^{10510427836441} is an apocalyptic number.

10510427836441 is the 3241979-th square number.

10510427836441 is the 1620990-th centered octagonal number.

It is an amenable number.

10510427836441 is a deficient number, since it is larger than the sum of its proper divisors (870731966918).

10510427836441 is an frugal number, since it uses more digits than its factorization.

10510427836441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498792 (or 249396 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 10510427836441 in words is "ten trillion, five hundred ten billion, four hundred twenty-seven million, eight hundred thirty-six thousand, four hundred forty-one".