4140021120 has 128 divisors (see below), whose sum is σ = 13393693440. Its totient is φ = 1087494144.

The previous prime is 4140021107. The next prime is 4140021163. The reversal of 4140021120 is 211200414.

4140021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4140021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112549 + ... + 144731.

It is an arithmetic number, because the mean of its divisors is an integer number (104638230).

Almost surely, 2^4140021120 is an apocalyptic number.

4140021120 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 4140021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696846720).

4140021120 is an abundant number, since it is smaller than the sum of its proper divisors (9253672320).

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

4140021120 is a wasteful number, since it uses less digits than its factorization.

4140021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32272 (or 32260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4140021120 is about 64342.9958892186. The cubic root of 4140021120 is about 1605.7115041072.

Adding to 4140021120 its reverse (211200414), we get a palindrome (4351221534).

The spelling of 4140021120 in words is "four billion, one hundred forty million, twenty-one thousand, one hundred twenty".