4429020960 has 576 divisors, whose sum is σ = 18897435648. Its totient is φ = 919683072.

The previous prime is 4429020929. The next prime is 4429020971. The reversal of 4429020960 is 690209244.

4429020960 is a `hidden beast` number, since 442 + 9 + 0 + 209 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9565689 + ... + 9566151.

It is an arithmetic number, because the mean of its divisors is an integer number (32808048).

Almost surely, 2^4429020960 is an apocalyptic number.

4429020960 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 4429020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448717824).

4429020960 is an abundant number, since it is smaller than the sum of its proper divisors (14468414688).

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

4429020960 is a wasteful number, since it uses less digits than its factorization.

4429020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4429020960 is about 66550.8900015620. The cubic root of 4429020960 is about 1642.2372994371.

The spelling of 4429020960 in words is "four billion, four hundred twenty-nine million, twenty thousand, nine hundred sixty".