4046556026016 has 192 divisors, whose sum is σ = 13495025295360. Its totient is φ = 1155601278720.

The previous prime is 4046556026003. The next prime is 4046556026041. The reversal of 4046556026016 is 6106206556404.

4046556026016 is a `hidden beast` number, since 4 + 0 + 4 + 65 + 560 + 26 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12461881 + ... + 12782471.

It is an arithmetic number, because the mean of its divisors is an integer number (70286590080).

Almost surely, 2^{4046556026016} 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 4046556026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747512647680).

4046556026016 is an abundant number, since it is smaller than the sum of its proper divisors (9448469269344).

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

4046556026016 is a wasteful number, since it uses less digits than its factorization.

4046556026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322704 (or 322690 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4046556026016 in words is "four trillion, forty-six billion, five hundred fifty-six million, twenty-six thousand, sixteen".