4029532920 has 448 divisors, whose sum is σ = 16368768000. Its totient is φ = 871720704.

The previous prime is 4029532907. The next prime is 4029532951. The reversal of 4029532920 is 292359204.

4029532920 is a `hidden beast` number, since 40 + 295 + 329 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 3877761 + ... + 3878799.

Almost surely, 2^4029532920 is an apocalyptic number.

4029532920 is a gapful number since it is divisible by the number (40) 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 4029532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184384000).

4029532920 is an abundant number, since it is smaller than the sum of its proper divisors (12339235080).

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

4029532920 is a wasteful number, since it uses less digits than its factorization.

4029532920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4029532920 is about 63478.6020640026. The cubic root of 4029532920 is about 1591.2981921756.

The spelling of 4029532920 in words is "four billion, twenty-nine million, five hundred thirty-two thousand, nine hundred twenty".