4007066112 has 480 divisors, whose sum is σ = 14156093952. Its totient is φ = 1107800064.

The previous prime is 4007066101. The next prime is 4007066117. The reversal of 4007066112 is 2116607004.

4007066112 is a `hidden beast` number, since 40 + 0 + 7 + 0 + 6 + 611 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007066117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37449163 + ... + 37449269.

Almost surely, 2^4007066112 is an apocalyptic number.

4007066112 is a gapful number since it is divisible by the number (42) 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 4007066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078046976).

4007066112 is an abundant number, since it is smaller than the sum of its proper divisors (10149027840).

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

4007066112 is an equidigital number, since it uses as much as digits as its factorization.

4007066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4007066112 is about 63301.3910747623. The cubic root of 4007066112 is about 1588.3352315677.

The spelling of 4007066112 in words is "four billion, seven million, sixty-six thousand, one hundred twelve".