4064121567216 has 140 divisors (see below), whose sum is σ = 11815823423920. Its totient is φ = 1353574540800.

The previous prime is 4064121567179. The next prime is 4064121567229. The reversal of 4064121567216 is 6127651214604.

4064121567216 is a `hidden beast` number, since 4 + 0 + 6 + 41 + 21 + 567 + 21 + 6 = 666.

It is a super-2 number, since 2×4064121567216² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13863405 + ... + 14153523.

Almost surely, 2^{4064121567216} 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 4064121567216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907911711960).

4064121567216 is an abundant number, since it is smaller than the sum of its proper divisors (7751701856704).

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

4064121567216 is a wasteful number, since it uses less digits than its factorization.

4064121567216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291346 (or 291325 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4064121567216 in words is "four trillion, sixty-four billion, one hundred twenty-one million, five hundred sixty-seven thousand, two hundred sixteen".