4452540040 has 128 divisors (see below), whose sum is σ = 11733089760. Its totient is φ = 1505378304.

The previous prime is 4452539977. The next prime is 4452540061. The reversal of 4452540040 is 400452544.

It can be written as a sum of positive squares in 16 ways, for example, as 58706244 + 4393833796 = 7662^2 + 66286^2 .

It is a super-2 number, since 2×4452540040² = 39650225615606403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4452539990 and 4452540008.

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 31 ways as a sum of consecutive naturals, for example, 320274 + ... + 333886.

Almost surely, 2^4452540040 is an apocalyptic number.

4452540040 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 4452540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866544880).

4452540040 is an abundant number, since it is smaller than the sum of its proper divisors (7280549720).

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

4452540040 is a wasteful number, since it uses less digits than its factorization.

4452540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691 (or 13687 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 4452540040 is about 66727.3560093610. The cubic root of 4452540040 is about 1645.1390501541.

Adding to 4452540040 its reverse (400452544), we get a palindrome (4852992584).

The spelling of 4452540040 in words is "four billion, four hundred fifty-two million, five hundred forty thousand, forty".