42411244211424 has 288 divisors, whose sum is σ = 136465157293920. Its totient is φ = 12380732928000.

The previous prime is 42411244211393. The next prime is 42411244211507.

42411244211424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 12 + 4 + 4 + 211 + 424 = 666.

42411244211424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42411244211424² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10047622 + ... + 13630010.

It is an arithmetic number, because the mean of its divisors is an integer number (473837351715).

Almost surely, 2^{42411244211424} is an apocalyptic number.

42411244211424 is a gapful number since it is divisible by the number (44) 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 42411244211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68232578646960).

42411244211424 is an abundant number, since it is smaller than the sum of its proper divisors (94053913082496).

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

42411244211424 is a wasteful number, since it uses less digits than its factorization.

42411244211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582554 (or 3582543 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4241124 and 4211424, that added together give a palindrome (8452548).

The spelling of 42411244211424 in words is "forty-two trillion, four hundred eleven billion, two hundred forty-four million, two hundred eleven thousand, four hundred twenty-four".