4006714817088 has 168 divisors, whose sum is σ = 11555956568000. Its totient is φ = 1327280587776.

The previous prime is 4006714816991. The next prime is 4006714817101. The reversal of 4006714817088 is 8807184176004.

4006714817088 is a `hidden beast` number, since 400 + 6 + 7 + 14 + 81 + 70 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98441670 + ... + 98482362.

Almost surely, 2^{4006714817088} is an apocalyptic number.

4006714817088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006714817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777978284000).

4006714817088 is an abundant number, since it is smaller than the sum of its proper divisors (7549241750912).

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

4006714817088 is a wasteful number, since it uses less digits than its factorization.

4006714817088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41769 (or 41756 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 4006714817088 in words is "four trillion, six billion, seven hundred fourteen million, eight hundred seventeen thousand, eighty-eight".