4006108770 has 192 divisors, whose sum is σ = 10748211840. Its totient is φ = 952197120.

The previous prime is 4006108763. The next prime is 4006108781. The reversal of 4006108770 is 778016004.

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 95 ways as a sum of consecutive naturals, for example, 35452234 + ... + 35452346.

It is an arithmetic number, because the mean of its divisors is an integer number (55980270).

Almost surely, 2^4006108770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006108770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374105920).

4006108770 is an abundant number, since it is smaller than the sum of its proper divisors (6742103070).

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

4006108770 is a wasteful number, since it uses less digits than its factorization.

4006108770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 4006108770 is about 63293.8288461047. The cubic root of 4006108770 is about 1588.2087299414.

The spelling of 4006108770 in words is "four billion, six million, one hundred eight thousand, seven hundred seventy".