4165539920 has 80 divisors (see below), whose sum is σ = 10531857168. Its totient is φ = 1525800960.

The previous prime is 4165539863. The next prime is 4165539941. The reversal of 4165539920 is 299355614.

It can be written as a sum of positive squares in 8 ways, for example, as 27962944 + 4137576976 = 5288^2 + 64324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4165539920² = 34703445650227212800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8930 + ... + 91710.

Almost surely, 2^4165539920 is an apocalyptic number.

4165539920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165539920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265928584).

4165539920 is an abundant number, since it is smaller than the sum of its proper divisors (6366317248).

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

4165539920 is a wasteful number, since it uses less digits than its factorization.

4165539920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82848 (or 82842 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 4165539920 is about 64540.9941045224. The cubic root of 4165539920 is about 1609.0039130067.

The spelling of 4165539920 in words is "four billion, one hundred sixty-five million, five hundred thirty-nine thousand, nine hundred twenty".