4129249292928 has 48 divisors (see below), whose sum is σ = 11882344973850. Its totient is φ = 1376416430592.

The previous prime is 4129249292863. The next prime is 4129249292941. The reversal of 4129249292928 is 8292929429214.

4129249292928 is a `hidden beast` number, since 4 + 12 + 9 + 249 + 292 + 92 + 8 = 666.

4129249292928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3884651786304 + 244597506624 = 1970952^2 + 494568^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1792207743 + ... + 1792210046.

Almost surely, 2^{4129249292928} is an apocalyptic number.

4129249292928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4129249292928 is an abundant number, since it is smaller than the sum of its proper divisors (7753095680922).

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

4129249292928 is a wasteful number, since it uses less digits than its factorization.

4129249292928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584417809 (or 3584417794 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 4129249292928 in words is "four trillion, one hundred twenty-nine billion, two hundred forty-nine million, two hundred ninety-two thousand, nine hundred twenty-eight".