6129041256 has 128 divisors (see below), whose sum is σ = 18561782400. Its totient is φ = 1885788864.

The previous prime is 6129041207. The next prime is 6129041257. The reversal of 6129041256 is 6521409216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6129041256.

It is not an unprimeable number, because it can be changed into a prime (6129041257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213975 + ... + 240921.

It is an arithmetic number, because the mean of its divisors is an integer number (145013925).

Almost surely, 2^6129041256 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 6129041256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280891200).

6129041256 is an abundant number, since it is smaller than the sum of its proper divisors (12432741144).

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

6129041256 is a wasteful number, since it uses less digits than its factorization.

6129041256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26965 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6129041256 is about 78288.1935926484. The cubic root of 6129041256 is about 1830.0551663026.

The spelling of 6129041256 in words is "six billion, one hundred twenty-nine million, forty-one thousand, two hundred fifty-six".