4006795212 has 144 divisors (see below), whose sum is σ = 12541681152. Its totient is φ = 1052352000.

The previous prime is 4006795181. The next prime is 4006795223. The reversal of 4006795212 is 2125976004.

It is a super-2 number, since 2×4006795212² = 32108815741812249888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173337 + ... + 195087.

It is an arithmetic number, because the mean of its divisors is an integer number (87095008).

Almost surely, 2^4006795212 is an apocalyptic number.

4006795212 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 4006795212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270840576).

4006795212 is an abundant number, since it is smaller than the sum of its proper divisors (8534885940).

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

4006795212 is a wasteful number, since it uses less digits than its factorization.

4006795212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21828 (or 21823 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4006795212 is about 63299.2512751928. The cubic root of 4006795212 is about 1588.2994373233.

The spelling of 4006795212 in words is "four billion, six million, seven hundred ninety-five thousand, two hundred twelve".