4412424955752 has 384 divisors, whose sum is σ = 14083634073600. Its totient is φ = 1233536947200.

The previous prime is 4412424955751. The next prime is 4412424955769. The reversal of 4412424955752 is 2575594242144.

4412424955752 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 42 + 49 + 557 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4412424955751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 347346633 + ... + 347359335.

It is an arithmetic number, because the mean of its divisors is an integer number (36676130400).

Almost surely, 2^{4412424955752} 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 4412424955752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041817036800).

4412424955752 is an abundant number, since it is smaller than the sum of its proper divisors (9671209117848).

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

4412424955752 is a wasteful number, since it uses less digits than its factorization.

4412424955752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13342 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 4412424955752 in words is "four trillion, four hundred twelve billion, four hundred twenty-four million, nine hundred fifty-five thousand, seven hundred fifty-two".