4129990224 has 80 divisors (see below), whose sum is σ = 11077921920. Its totient is φ = 1324270080.

The previous prime is 4129990223. The next prime is 4129990237. The reversal of 4129990224 is 4220999214.

It is a Cunningham number, because it is equal to 64265²-1.

It is a super-3 number, since 3×4129990224³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129990223) 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, 380229 + ... + 390939.

It is an arithmetic number, because the mean of its divisors is an integer number (138474024).

Almost surely, 2^4129990224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129990224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538960960).

4129990224 is an abundant number, since it is smaller than the sum of its proper divisors (6947931696).

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

4129990224 is a wasteful number, since it uses less digits than its factorization.

4129990224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4129990224 is about 64264.9999922197. Note that the first 5 decimals coincide. The cubic root of 4129990224 is about 1604.4136241727.

The spelling of 4129990224 in words is "four billion, one hundred twenty-nine million, nine hundred ninety thousand, two hundred twenty-four".