4125264240 has 160 divisors (see below), whose sum is σ = 13299148800. Its totient is φ = 1056660480.

The previous prime is 4125264233. The next prime is 4125264317. The reversal of 4125264240 is 424625214.

4125264240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4125264198 and 4125264207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032166 + ... + 1036154.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 2^4125264240 is an apocalyptic number.

4125264240 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 4125264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

4125264240 is an abundant number, since it is smaller than the sum of its proper divisors (9173884560).

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

4125264240 is a wasteful number, since it uses less digits than its factorization.

4125264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4125264240 is about 64228.2199659931. The cubic root of 4125264240 is about 1603.8014090696.

Adding to 4125264240 its reverse (424625214), we get a palindrome (4549889454).

The spelling of 4125264240 in words is "four billion, one hundred twenty-five million, two hundred sixty-four thousand, two hundred forty".