4130064960 has 336 divisors, whose sum is σ = 16060155840. Its totient is φ = 894136320.

The previous prime is 4130064929. The next prime is 4130065003. The reversal of 4130064960 is 694600314.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891450 + ... + 896070.

Almost surely, 2^4130064960 is an apocalyptic number.

4130064960 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 4130064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030077920).

4130064960 is an abundant number, since it is smaller than the sum of its proper divisors (11930090880).

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

4130064960 is a wasteful number, since it uses less digits than its factorization.

4130064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4130064960 is about 64265.5814569510. The cubic root of 4130064960 is about 1604.4233018980.

The spelling of 4130064960 in words is "four billion, one hundred thirty million, sixty-four thousand, nine hundred sixty".