4065681964800 has 108 divisors (see below), whose sum is σ = 13417597564280. Its totient is φ = 1084181852160.

The previous prime is 4065681964789. The next prime is 4065681964819. The reversal of 4065681964800 is 84691865604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105857935 + ... + 105896334.

Almost surely, 2^{4065681964800} is an apocalyptic number.

4065681964800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4065681964800 is an abundant number, since it is smaller than the sum of its proper divisors (9351915599480).

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

4065681964800 is a wasteful number, since it uses less digits than its factorization.

4065681964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211754298 (or 211754279 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 4065681964800 in words is "four trillion, sixty-five billion, six hundred eighty-one million, nine hundred sixty-four thousand, eight hundred".