4124134314216 has 192 divisors, whose sum is σ = 12840296601600. Its totient is φ = 1171393985664.

The previous prime is 4124134314203. The next prime is 4124134314257. The reversal of 4124134314216 is 6124134314214.

It is a happy number.

4124134314216 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 1 + 3 + 431 + 4 + 216 = 666.

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 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, 572236485 + ... + 572243691.

It is an arithmetic number, because the mean of its divisors is an integer number (66876544800).

Almost surely, 2^{4124134314216} 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 4124134314216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420148300800).

4124134314216 is an abundant number, since it is smaller than the sum of its proper divisors (8716162287384).

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

4124134314216 is a wasteful number, since it uses less digits than its factorization.

4124134314216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13741 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4124134314216 in words is "four trillion, one hundred twenty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred sixteen".