4130919864 has 64 divisors (see below), whose sum is σ = 11718950400. Its totient is φ = 1347672672.

The previous prime is 4130919857. The next prime is 4130919889. The reversal of 4130919864 is 4689190314.

4130919864 is a `hidden beast` number, since 413 + 0 + 91 + 98 + 64 = 666.

It is a super-3 number, since 3×4130919864³ (a number of 30 digits) contains 333 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, 193302 + ... + 213605.

It is an arithmetic number, because the mean of its divisors is an integer number (183108600).

Almost surely, 2^4130919864 is an apocalyptic number.

It is an amenable number.

4130919864 is an abundant number, since it is smaller than the sum of its proper divisors (7588030536).

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

4130919864 is a wasteful number, since it uses less digits than its factorization.

4130919864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406969 (or 406959 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4130919864 is about 64272.2324491689. The cubic root of 4130919864 is about 1604.5339969503.

The spelling of 4130919864 in words is "four billion, one hundred thirty million, nine hundred nineteen thousand, eight hundred sixty-four".