4129823880 has 1152 divisors, whose sum is σ = 18822585600. Its totient is φ = 804722688.

The previous prime is 4129823861. The next prime is 4129823897. The reversal of 4129823880 is 883289214.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 142407706 + ... + 142407734.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^4129823880 is an apocalyptic number.

4129823880 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 4129823880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4129823880 is an abundant number, since it is smaller than the sum of its proper divisors (14692761720).

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

4129823880 is a wasteful number, since it uses less digits than its factorization.

4129823880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4129823880 is about 64263.7057754998. The cubic root of 4129823880 is about 1604.3920835113.

The spelling of 4129823880 in words is "four billion, one hundred twenty-nine million, eight hundred twenty-three thousand, eight hundred eighty".