4000525400 has 96 divisors (see below), whose sum is σ = 9427968000. Its totient is φ = 1578568320.

The previous prime is 4000525393. The next prime is 4000525409. The reversal of 4000525400 is 45250004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000525409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6070271 + ... + 6070929.

It is an arithmetic number, because the mean of its divisors is an integer number (98208000).

Almost surely, 2^4000525400 is an apocalyptic number.

4000525400 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 4000525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713984000).

4000525400 is an abundant number, since it is smaller than the sum of its proper divisors (5427442600).

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

4000525400 is a wasteful number, since it uses less digits than its factorization.

4000525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4000525400 is about 63249.7067186876. The cubic root of 4000525400 is about 1587.4705506348.

Adding to 4000525400 its reverse (45250004), we get a palindrome (4045775404).

The spelling of 4000525400 in words is "four billion, five hundred twenty-five thousand, four hundred".