4259229120 has 336 divisors, whose sum is σ = 15154119552. Its totient is φ = 1097349120.

The previous prime is 4259229083. The next prime is 4259229127. The reversal of 4259229120 is 219229524.

4259229120 is a `hidden beast` number, since 42 + 592 + 2 + 9 + 1 + 20 = 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 (4259229127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20185815 + ... + 20186025.

Almost surely, 2^4259229120 is an apocalyptic number.

4259229120 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 4259229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577059776).

4259229120 is an abundant number, since it is smaller than the sum of its proper divisors (10894890432).

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

4259229120 is a wasteful number, since it uses less digits than its factorization.

4259229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4259229120 is about 65262.7697849241. The cubic root of 4259229120 is about 1620.9775535737.

The spelling of 4259229120 in words is "four billion, two hundred fifty-nine million, two hundred twenty-nine thousand, one hundred twenty".