4124442212352 has 1536 divisors, whose sum is σ = 15878903040000. Its totient is φ = 1048252907520.

The previous prime is 4124442212351. The next prime is 4124442212381. The reversal of 4124442212352 is 2532122444214.

4124442212352 is a `hidden beast` number, since 4 + 1 + 244 + 42 + 21 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4124442212352² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124442212351) 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 127 ways as a sum of consecutive naturals, for example, 11057485638 + ... + 11057486010.

It is an arithmetic number, because the mean of its divisors is an integer number (10337827500).

Almost surely, 2^{4124442212352} is an apocalyptic number.

4124442212352 is a gapful number since it is divisible by the number (42) 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 4124442212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939451520000).

4124442212352 is an abundant number, since it is smaller than the sum of its proper divisors (11754460827648).

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

4124442212352 is a wasteful number, since it uses less digits than its factorization.

4124442212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 449 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 4124442212352 its reverse (2532122444214), we get a palindrome (6656564656566).

The spelling of 4124442212352 in words is "four trillion, one hundred twenty-four billion, four hundred forty-two million, two hundred twelve thousand, three hundred fifty-two".