4452265440 has 1008 divisors, whose sum is σ = 19781813520. Its totient is φ = 940584960.

The previous prime is 4452265423. The next prime is 4452265471. The reversal of 4452265440 is 445622544.

4452265440 is a `hidden beast` number, since 44 + 52 + 26 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 4452265395 and 4452265404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108591820 + ... + 108591860.

It is an arithmetic number, because the mean of its divisors is an integer number (19624815).

Almost surely, 2^4452265440 is an apocalyptic number.

4452265440 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 4452265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890906760).

4452265440 is an abundant number, since it is smaller than the sum of its proper divisors (15329548080).

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

4452265440 is a wasteful number, since it uses less digits than its factorization.

4452265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4452265440 is about 66725.2983507755. The cubic root of 4452265440 is about 1645.1052294235.

Adding to 4452265440 its reverse (445622544), we get a palindrome (4897887984).

The spelling of 4452265440 in words is "four billion, four hundred fifty-two million, two hundred sixty-five thousand, four hundred forty".