4165060559104 has 81 divisors (see below), whose sum is σ = 8365333418967. Its totient is φ = 2069713754112.

The previous prime is 4165060559059. The next prime is 4165060559111. The reversal of 4165060559104 is 4019550605614.

It is a happy number.

The square root of 4165060559104 is 2040848.

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 5288198400 + 4159772360704 = 72720^2 + 2039552^2 .

It is a super-2 number, since 2×4165060559104² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7477666794 + ... + 7477667350.

Almost surely, 2^{4165060559104} is an apocalyptic number.

4165060559104 is the 2040848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165060559104

4165060559104 is an abundant number, since it is smaller than the sum of its proper divisors (4200272859863).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4165060559104 is an frugal number, since it uses more digits than its factorization.

4165060559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 4165060559104 in words is "four trillion, one hundred sixty-five billion, sixty million, five hundred fifty-nine thousand, one hundred four".