4408245335052 has 288 divisors, whose sum is σ = 12449059983360. Its totient is φ = 1306638328320.

The previous prime is 4408245335017. The next prime is 4408245335101. The reversal of 4408245335052 is 2505335428044.

4408245335052 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 245 + 3 + 350 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4408245334989 and 4408245335007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1801488493 + ... + 1801490939.

It is an arithmetic number, because the mean of its divisors is an integer number (43225902720).

Almost surely, 2^{4408245335052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408245335052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224529991680).

4408245335052 is an abundant number, since it is smaller than the sum of its proper divisors (8040814648308).

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

4408245335052 is a wasteful number, since it uses less digits than its factorization.

4408245335052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 4408245335052 in words is "four trillion, four hundred eight billion, two hundred forty-five million, three hundred thirty-five thousand, fifty-two".