4066407936 has 120 divisors (see below), whose sum is σ = 11767699944. Its totient is φ = 1351802880.

The previous prime is 4066407931. The next prime is 4066407941. The reversal of 4066407936 is 6397046604.

It is an interprime number because it is at equal distance from previous prime (4066407931) and next prime (4066407941).

It is a junction number, because it is equal to n+sod(n) for n = 4066407891 and 4066407900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066407931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2104891 + ... + 2106821.

Almost surely, 2^4066407936 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 4066407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883849972).

4066407936 is an abundant number, since it is smaller than the sum of its proper divisors (7701292008).

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

4066407936 is a wasteful number, since it uses less digits than its factorization.

4066407936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4066407936 is about 63768.3929231402. The cubic root of 4066407936 is about 1596.1375500950.

The spelling of 4066407936 in words is "four billion, sixty-six million, four hundred seven thousand, nine hundred thirty-six".