4412506530240 has 336 divisors, whose sum is σ = 15368015609856. Its totient is φ = 1161888307200.

The previous prime is 4412506530233. The next prime is 4412506530317. The reversal of 4412506530240 is 420356052144.

4412506530240 is a `hidden beast` number, since 4 + 4 + 1 + 250 + 65 + 302 + 40 = 666.

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 = 4412506530195 and 4412506530204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638472385 + ... + 638479295.

It is an arithmetic number, because the mean of its divisors is an integer number (45738141696).

Almost surely, 2^{4412506530240} is an apocalyptic number.

4412506530240 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 4412506530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684007804928).

4412506530240 is an abundant number, since it is smaller than the sum of its proper divisors (10955509079616).

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

4412506530240 is a wasteful number, since it uses less digits than its factorization.

4412506530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4412506530240 in words is "four trillion, four hundred twelve billion, five hundred six million, five hundred thirty thousand, two hundred forty".