424112242211424 has 576 divisors, whose sum is σ = 1437535376222400. Its totient is φ = 117407995084800.

The previous prime is 424112242211419. The next prime is 424112242211467.

424112242211424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 1 + 2 + 2 + 4 + 221 + 1 + 424 = 666.

424112242211424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424112242211424² (a number of 30 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124154454 + ... + 127524714.

It is an arithmetic number, because the mean of its divisors is an integer number (2495721139275).

Almost surely, 2^{424112242211424} 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 424112242211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718767688111200).

424112242211424 is an abundant number, since it is smaller than the sum of its proper divisors (1013423134010976).

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

424112242211424 is a wasteful number, since it uses less digits than its factorization.

424112242211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370399 (or 3370388 counting only the distinct ones).

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

The spelling of 424112242211424 in words is "four hundred twenty-four trillion, one hundred twelve billion, two hundred forty-two million, two hundred eleven thousand, four hundred twenty-four".