4066029792 has 576 divisors, whose sum is σ = 14478912000. Its totient is φ = 1103984640.

The previous prime is 4066029787. The next prime is 4066029797. The reversal of 4066029792 is 2979206604.

It is an interprime number because it is at equal distance from previous prime (4066029787) and next prime (4066029797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066029797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45685684 + ... + 45685772.

It is an arithmetic number, because the mean of its divisors is an integer number (25137000).

Almost surely, 2^4066029792 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 4066029792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456000).

4066029792 is an abundant number, since it is smaller than the sum of its proper divisors (10412882208).

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

4066029792 is a wasteful number, since it uses less digits than its factorization.

4066029792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4066029792 is about 63765.4278743584. The cubic root of 4066029792 is about 1596.0880724760.

The spelling of 4066029792 in words is "four billion, sixty-six million, twenty-nine thousand, seven hundred ninety-two".