4124000556 has 288 divisors, whose sum is σ = 12821372928. Its totient is φ = 1103984640.

The previous prime is 4124000537. The next prime is 4124000567. The reversal of 4124000556 is 6550004214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5672265 + ... + 5672991.

It is an arithmetic number, because the mean of its divisors is an integer number (44518656).

Almost surely, 2^4124000556 is an apocalyptic number.

4124000556 is a gapful number since it is divisible by the number (46) 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 4124000556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410686464).

4124000556 is an abundant number, since it is smaller than the sum of its proper divisors (8697372372).

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

4124000556 is a wasteful number, since it uses less digits than its factorization.

4124000556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4124000556 is about 64218.3817609880. The cubic root of 4124000556 is about 1603.6376292451.

The spelling of 4124000556 in words is "four billion, one hundred twenty-four million, five hundred fifty-six", and thus it is an aban number.