7742624162041 has 16 divisors (see below), whose sum is σ = 7832769638400. Its totient is φ = 7652951748288.

The previous prime is 7742624162027. The next prime is 7742624162111. The reversal of 7742624162041 is 1402614262477.

It is a cyclic number.

It is not a de Polignac number, because 7742624162041 - 2⁹ = 7742624161529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7742624161982 and 7742624162000.

It is not an unprimeable number, because it can be changed into a prime (7742624163041) 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, 120122100 + ... + 120186538.

It is an arithmetic number, because the mean of its divisors is an integer number (489548102400).

Almost surely, 2^{7742624162041} is an apocalyptic number.

It is an amenable number.

7742624162041 is a deficient number, since it is larger than the sum of its proper divisors (90145476359).

7742624162041 is a wasteful number, since it uses less digits than its factorization.

7742624162041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68088.

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 7742624162041 in words is "seven trillion, seven hundred forty-two billion, six hundred twenty-four million, one hundred sixty-two thousand, forty-one".