4121564928 has 144 divisors (see below), whose sum is σ = 12037606560. Its totient is φ = 1244086272.

The previous prime is 4121564927. The next prime is 4121564933. The reversal of 4121564928 is 8294651214.

It is a self number, because there is not a number n which added to its sum of digits gives 4121564928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121564927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525258 + ... + 533046.

It is an arithmetic number, because the mean of its divisors is an integer number (83594490).

Almost surely, 2^4121564928 is an apocalyptic number.

4121564928 is a gapful number since it is divisible by the number (48) 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 4121564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018803280).

4121564928 is an abundant number, since it is smaller than the sum of its proper divisors (7916041632).

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

4121564928 is a wasteful number, since it uses less digits than its factorization.

4121564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7874 (or 7860 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 4121564928 is about 64199.4153244405. The cubic root of 4121564928 is about 1603.3218651512.

The spelling of 4121564928 in words is "four billion, one hundred twenty-one million, five hundred sixty-four thousand, nine hundred twenty-eight".