4006061217792 has 192 divisors, whose sum is σ = 11971948716000. Its totient is φ = 1323534385152.

The previous prime is 4006061217791. The next prime is 4006061217803. The reversal of 4006061217792 is 2977121606004.

4006061217792 is a `hidden beast` number, since 400 + 60 + 6 + 12 + 177 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006061217791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5927884 + ... + 6569012.

Almost surely, 2^{4006061217792} 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 4006061217792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985974358000).

4006061217792 is an abundant number, since it is smaller than the sum of its proper divisors (7965887498208).

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

4006061217792 is a wasteful number, since it uses less digits than its factorization.

4006061217792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641273 (or 641247 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4006061217792 in words is "four trillion, six billion, sixty-one million, two hundred seventeen thousand, seven hundred ninety-two".