4129905824 has 48 divisors (see below), whose sum is σ = 8921314080. Its totient is φ = 1866351360.

The previous prime is 4129905823. The next prime is 4129905847. The reversal of 4129905824 is 4285099214.

It is a super-2 number, since 2×4129905824² = 34112244230218237952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4129905821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26987 + ... + 94805.

It is an arithmetic number, because the mean of its divisors is an integer number (185860710).

Almost surely, 2^4129905824 is an apocalyptic number.

4129905824 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 4129905824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460657040).

4129905824 is an abundant number, since it is smaller than the sum of its proper divisors (4791408256).

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

4129905824 is a wasteful number, since it uses less digits than its factorization.

4129905824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68013 (or 68005 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 4129905824 is about 64264.3433328312. The cubic root of 4129905824 is about 1604.4026948948.

It can be divided in two parts, 412990 and 5824, that added together give a palindrome (418814).

The spelling of 4129905824 in words is "four billion, one hundred twenty-nine million, nine hundred five thousand, eight hundred twenty-four".