4072071328416 has 960 divisors, whose sum is σ = 15291128160000. Its totient is φ = 1033974595584.

The previous prime is 4072071328399. The next prime is 4072071328421. The reversal of 4072071328416 is 6148231702704.

4072071328416 is a `hidden beast` number, since 4 + 0 + 7 + 207 + 1 + 3 + 28 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3413303116 + ... + 3413304308.

It is an arithmetic number, because the mean of its divisors is an integer number (15928258500).

Almost surely, 2^{4072071328416} 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 4072071328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645564080000).

4072071328416 is an abundant number, since it is smaller than the sum of its proper divisors (11219056831584).

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

4072071328416 is a wasteful number, since it uses less digits than its factorization.

4072071328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4072071328416 in words is "four trillion, seventy-two billion, seventy-one million, three hundred twenty-eight thousand, four hundred sixteen".