4100008964 has 6 divisors (see below), whose sum is σ = 7175015694. Its totient is φ = 2050004480.

The previous prime is 4100008963. The next prime is 4100008973. The reversal of 4100008964 is 4698000014.

It can be written as a sum of positive squares in only one way, i.e., 4063042564 + 36966400 = 63742^2 + 6080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4100008964.

It is not an unprimeable number, because it can be changed into a prime (4100008963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512501117 + ... + 512501124.

It is an arithmetic number, because the mean of its divisors is an integer number (1195835949).

Almost surely, 2^4100008964 is an apocalyptic number.

It is an amenable number.

4100008964 is a deficient number, since it is larger than the sum of its proper divisors (3075006730).

4100008964 is a wasteful number, since it uses less digits than its factorization.

4100008964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025002245 (or 1025002243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 4100008964 is about 64031.3123713703. The cubic root of 4100008964 is about 1600.5218303105.

Adding to 4100008964 its reverse (4698000014), we get a palindrome (8798008978).

The spelling of 4100008964 in words is "four billion, one hundred million, eight thousand, nine hundred sixty-four".