4125540564 has 144 divisors (see below), whose sum is σ = 10897286400. Its totient is φ = 1315222272.

The previous prime is 4125540557. The next prime is 4125540577. The reversal of 4125540564 is 4650455214.

4125540564 is a `hidden beast` number, since 4 + 1 + 2 + 55 + 40 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17261557 + ... + 17261795.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 2^4125540564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125540564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448643200).

4125540564 is an abundant number, since it is smaller than the sum of its proper divisors (6771745836).

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

4125540564 is a wasteful number, since it uses less digits than its factorization.

4125540564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4125540564 is about 64230.3710404977. The cubic root of 4125540564 is about 1603.8372175981.

Adding to 4125540564 its reverse (4650455214), we get a palindrome (8775995778).

The spelling of 4125540564 in words is "four billion, one hundred twenty-five million, five hundred forty thousand, five hundred sixty-four".