7821121310441 has 16 divisors (see below), whose sum is σ = 7859679693840. Its totient is φ = 7782658329600.

The previous prime is 7821121310371. The next prime is 7821121310447. The reversal of 7821121310441 is 1440131211287.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10191912025 + 7810929398416 = 100955^2 + 2794804^2 .

It is a cyclic number.

It is not a de Polignac number, because 7821121310441 - 2³⁰ = 7820047568617 is a prime.

It is a super-2 number, since 2×7821121310441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7821121310447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097081765 + ... + 1097088893.

It is an arithmetic number, because the mean of its divisors is an integer number (491229980865).

Almost surely, 2^{7821121310441} is an apocalyptic number.

It is an amenable number.

7821121310441 is a deficient number, since it is larger than the sum of its proper divisors (38558383399).

7821121310441 is a wasteful number, since it uses less digits than its factorization.

7821121310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 7821121310441 in words is "seven trillion, eight hundred twenty-one billion, one hundred twenty-one million, three hundred ten thousand, four hundred forty-one".