4527527040 has 192 divisors, whose sum is σ = 16554128760. Its totient is φ = 1136295936.

The previous prime is 4527527033. The next prime is 4527527047. The reversal of 4527527040 is 407257254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4527527033) and next prime (4527527047).

It can be written as a sum of positive squares in 4 ways, for example, as 4525521984 + 2005056 = 67272^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4527526986 and 4527527004.

It is not an unprimeable number, because it can be changed into a prime (4527527047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74802 + ... + 121038.

Almost surely, 2^4527527040 is an apocalyptic number.

4527527040 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 4527527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277064380).

4527527040 is an abundant number, since it is smaller than the sum of its proper divisors (12026601720).

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

4527527040 is a wasteful number, since it uses less digits than its factorization.

4527527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46279 (or 46264 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4527527040 is about 67286.9009540490. The cubic root of 4527527040 is about 1654.3231643634.

The spelling of 4527527040 in words is "four billion, five hundred twenty-seven million, five hundred twenty-seven thousand, forty".