10368264760441 has 27 divisors (see below), whose sum is σ = 12111515889357. Its totient is φ = 8850047881920.

The previous prime is 10368264760429. The next prime is 10368264760493. The reversal of 10368264760441 is 14406746286301.

The square root of 10368264760441 is 3219979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1807935714025 + 8560329046416 = 1344595^2 + 2925804^2 .

It is not a de Polignac number, because 10368264760441 - 2¹¹ = 10368264758393 is a prime.

It is a super-3 number, since 3×10368264760441³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10368265760441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6333697875 + ... + 6333699511.

Almost surely, 2^{10368264760441} is an apocalyptic number.

10368264760441 is the 3219979-th square number.

10368264760441 is the 1609990-th centered octagonal number.

It is an amenable number.

10368264760441 is a deficient number, since it is larger than the sum of its proper divisors (1743251128916).

10368264760441 is an frugal number, since it uses more digits than its factorization.

10368264760441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 10368264760441 in words is "ten trillion, three hundred sixty-eight billion, two hundred sixty-four million, seven hundred sixty thousand, four hundred forty-one".