4029645312 has 480 divisors, whose sum is σ = 14906795904. Its totient is φ = 1017446400.

The previous prime is 4029645289. The next prime is 4029645313. The reversal of 4029645312 is 2135469204.

It is a happy number.

4029645312 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 645 + 3 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4029645313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14547318 + ... + 14547594.

Almost surely, 2^4029645312 is an apocalyptic number.

4029645312 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 4029645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453397952).

4029645312 is an abundant number, since it is smaller than the sum of its proper divisors (10877150592).

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

4029645312 is a wasteful number, since it uses less digits than its factorization.

4029645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4029645312 is about 63479.4873325234. The cubic root of 4029645312 is about 1591.3129869030.

The spelling of 4029645312 in words is "four billion, twenty-nine million, six hundred forty-five thousand, three hundred twelve".