4040075520 has 432 divisors, whose sum is σ = 15367650480. Its totient is φ = 973799424.

The previous prime is 4040075519. The next prime is 4040075539. The reversal of 4040075520 is 255700404.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 4038856704 = 1104^2 + 63552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7937026 + ... + 7937534.

It is an arithmetic number, because the mean of its divisors is an integer number (35573265).

Almost surely, 2^4040075520 is an apocalyptic number.

4040075520 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 4040075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683825240).

4040075520 is an abundant number, since it is smaller than the sum of its proper divisors (11327574960).

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

4040075520 is a wasteful number, since it uses less digits than its factorization.

4040075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 4040075520 is about 63561.5884005427. The cubic root of 4040075520 is about 1592.6847722898.

Adding to 4040075520 its reverse (255700404), we get a palindrome (4295775924).

The spelling of 4040075520 in words is "four billion, forty million, seventy-five thousand, five hundred twenty".