10240302314241 has 14 divisors (see below), whose sum is σ = 15353429945490. Its totient is φ = 6826868209008.

The previous prime is 10240302314147. The next prime is 10240302314251. The reversal of 10240302314241 is 14241320304201.

10240302314241 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 3 + 0 + 231 + 424 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6244521201216 + 3995781113025 = 2498904^2 + 1998945^2 .

It is not a de Polignac number, because 10240302314241 - 2¹³ = 10240302306049 is a prime.

It is a super-2 number, since 2×10240302314241² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10240302314251) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7023526236 + ... + 7023527693.

It is an arithmetic number, because the mean of its divisors is an integer number (1096673567535).

Almost surely, 2^{10240302314241} is an apocalyptic number.

It is an amenable number.

10240302314241 is a deficient number, since it is larger than the sum of its proper divisors (5113127631249).

10240302314241 is an frugal number, since it uses more digits than its factorization.

10240302314241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14047053947 (or 14047053932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10240302314241 its reverse (14241320304201), we get a palindrome (24481622618442).

The spelling of 10240302314241 in words is "ten trillion, two hundred forty billion, three hundred two million, three hundred fourteen thousand, two hundred forty-one".