7742353431121 has 2 divisors, whose sum is σ = 7742353431122. Its totient is φ = 7742353431120.

The previous prime is 7742353431103. The next prime is 7742353431133. The reversal of 7742353431121 is 1211343532477.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4551971596225 + 3190381834896 = 2133535^2 + 1786164^2 .

It is a cyclic number.

It is not a de Polignac number, because 7742353431121 - 2⁵ = 7742353431089 is a prime.

It is a super-2 number, since 2×7742353431121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7742353431181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3871176715560 + 3871176715561.

It is an arithmetic number, because the mean of its divisors is an integer number (3871176715561).

Almost surely, 2^{7742353431121} is an apocalyptic number.

It is an amenable number.

7742353431121 is a deficient number, since it is larger than the sum of its proper divisors (1).

7742353431121 is an equidigital number, since it uses as much as digits as its factorization.

7742353431121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 423360, while the sum is 43.

Adding to 7742353431121 its reverse (1211343532477), we get a palindrome (8953696963598).

The spelling of 7742353431121 in words is "seven trillion, seven hundred forty-two billion, three hundred fifty-three million, four hundred thirty-one thousand, one hundred twenty-one".