7430416322641 has 27 divisors (see below), whose sum is σ = 8081217854481. Its totient is φ = 6828915684864.

The previous prime is 7430416322629. The next prime is 7430416322663. The reversal of 7430416322641 is 1462236140347.

The square root of 7430416322641 is 2725879.

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 561802716225 + 6868613606416 = 749535^2 + 2620804^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7430416322641 is a prime.

It is a super-2 number, since 2×7430416322641² (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 (7430416322621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15910955490 + ... + 15910955956.

Almost surely, 2^{7430416322641} is an apocalyptic number.

7430416322641 is the 2725879-th square number.

7430416322641 is the 1362940-th centered octagonal number.

It is an amenable number.

7430416322641 is a deficient number, since it is larger than the sum of its proper divisors (650801531840).

7430416322641 is an frugal number, since it uses more digits than its factorization.

7430416322641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 7430416322641 in words is "seven trillion, four hundred thirty billion, four hundred sixteen million, three hundred twenty-two thousand, six hundred forty-one".