4229026560 has 432 divisors, whose sum is σ = 16667659008. Its totient is φ = 979968000.

The previous prime is 4229026553. The next prime is 4229026561. The reversal of 4229026560 is 656209224.

4229026560 is a `hidden beast` number, since 4 + 2 + 2 + 90 + 2 + 6 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229026561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2913835 + ... + 2915285.

It is an arithmetic number, because the mean of its divisors is an integer number (38582544).

Almost surely, 2^4229026560 is an apocalyptic number.

4229026560 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 4229026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333829504).

4229026560 is an abundant number, since it is smaller than the sum of its proper divisors (12438632448).

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

4229026560 is a wasteful number, since it uses less digits than its factorization.

4229026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1495 counting only the distinct ones).

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

The square root of 4229026560 is about 65030.9661622830. The cubic root of 4229026560 is about 1617.1369641535.

The spelling of 4229026560 in words is "four billion, two hundred twenty-nine million, twenty-six thousand, five hundred sixty".