4000125520 has 80 divisors (see below), whose sum is σ = 9493030800. Its totient is φ = 1567199232.

The previous prime is 4000125497. The next prime is 4000125529. The reversal of 4000125520 is 255210004.

It can be written as a sum of positive squares in 8 ways, for example, as 959264784 + 3040860736 = 30972^2 + 55144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000125529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867862 + ... + 872458.

It is an arithmetic number, because the mean of its divisors is an integer number (118662885).

Almost surely, 2^4000125520 is an apocalyptic number.

4000125520 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 4000125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746515400).

4000125520 is an abundant number, since it is smaller than the sum of its proper divisors (5492905280).

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

4000125520 is a wasteful number, since it uses less digits than its factorization.

4000125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 4000125520 is about 63246.5455183127. The cubic root of 4000125520 is about 1587.4176560095.

Adding to 4000125520 its reverse (255210004), we get a palindrome (4255335524).

The spelling of 4000125520 in words is "four billion, one hundred twenty-five thousand, five hundred twenty".