4180965516 has 288 divisors, whose sum is σ = 14151795840. Its totient is φ = 1009262592.

The previous prime is 4180965493. The next prime is 4180965521. The reversal of 4180965516 is 6155690814.

4180965516 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 96 + 551 + 6 = 666.

4180965516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4180965516² = 34960945291962292512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2059590 + ... + 2061618.

It is an arithmetic number, because the mean of its divisors is an integer number (49138180).

Almost surely, 2^4180965516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4180965516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075897920).

4180965516 is an abundant number, since it is smaller than the sum of its proper divisors (9970830324).

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

4180965516 is a wasteful number, since it uses less digits than its factorization.

4180965516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4180965516 is about 64660.3859870941. The cubic root of 4180965516 is about 1610.9875910348.

The spelling of 4180965516 in words is "four billion, one hundred eighty million, nine hundred sixty-five thousand, five hundred sixteen".