4229249024 has 192 divisors, whose sum is σ = 11359595520. Its totient is φ = 1520271360.

The previous prime is 4229249023. The next prime is 4229249029. The reversal of 4229249024 is 4209429224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229249023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049017 + ... + 2051079.

It is an arithmetic number, because the mean of its divisors is an integer number (59164560).

Almost surely, 2^4229249024 is an apocalyptic number.

4229249024 is a gapful number since it is divisible by the number (44) 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 4229249024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679797760).

4229249024 is an abundant number, since it is smaller than the sum of its proper divisors (7130346496).

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

4229249024 is a wasteful number, since it uses less digits than its factorization.

4229249024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 4229249024 is about 65032.6765864669. The cubic root of 4229249024 is about 1617.1653196505.

The spelling of 4229249024 in words is "four billion, two hundred twenty-nine million, two hundred forty-nine thousand, twenty-four".