4224134314224 has 360 divisors, whose sum is σ = 13866927459840. Its totient is φ = 1195247370240.

The previous prime is 4224134314133. The next prime is 4224134314237.

4224134314224 is a `hidden beast` number, since 4 + 2 + 2 + 413 + 4 + 3 + 14 + 224 = 666.

4224134314224 is nontrivially palindromic in base 10.

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 71 ways as a sum of consecutive naturals, for example, 37562272 + ... + 37674560.

It is an arithmetic number, because the mean of its divisors is an integer number (38519242944).

Almost surely, 2^{4224134314224} is an apocalyptic number.

4224134314224 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 4224134314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933463729920).

4224134314224 is an abundant number, since it is smaller than the sum of its proper divisors (9642793145616).

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

4224134314224 is a wasteful number, since it uses less digits than its factorization.

4224134314224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112469 (or 112449 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4224134314224 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred twenty-four".