4120525440 has 384 divisors, whose sum is σ = 15638313600. Its totient is φ = 995106816.

The previous prime is 4120525429. The next prime is 4120525441. The reversal of 4120525440 is 445250214.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4120525441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2516302 + ... + 2517938.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^4120525440 is an apocalyptic number.

4120525440 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 4120525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

4120525440 is an abundant number, since it is smaller than the sum of its proper divisors (11517788160).

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

4120525440 is a wasteful number, since it uses less digits than its factorization.

4120525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4120525440 is about 64191.3190392595. The cubic root of 4120525440 is about 1603.1870640906.

Adding to 4120525440 its reverse (445250214), we get a palindrome (4565775654).

The spelling of 4120525440 in words is "four billion, one hundred twenty million, five hundred twenty-five thousand, four hundred forty".