4121028000 has 144 divisors (see below), whose sum is σ = 14625656136. Its totient is φ = 1098931200.

The previous prime is 4121027959. The next prime is 4121028019. The reversal of 4121028000 is 8201214.

4121028000 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 4 ways, for example, as 1781177616 + 2339850384 = 42204^2 + 48372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21237 + ... + 93236.

Almost surely, 2^4121028000 is an apocalyptic number.

4121028000 is a gapful number since it is divisible by the number (40) 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 4121028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312828068).

4121028000 is an abundant number, since it is smaller than the sum of its proper divisors (10504628136).

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

4121028000 is a wasteful number, since it uses less digits than its factorization.

4121028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114504 (or 114483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4121028000 is about 64195.2334679141. The cubic root of 4121028000 is about 1603.2522390259.

Adding to 4121028000 its reverse (8201214), we get a palindrome (4129229214).

The spelling of 4121028000 in words is "four billion, one hundred twenty-one million, twenty-eight thousand".