4121327616 has 192 divisors, whose sum is σ = 12726604800. Its totient is φ = 1161658368.

The previous prime is 4121327593. The next prime is 4121327641. The reversal of 4121327616 is 6167231214.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 3397026 + ... + 3398238.

It is an arithmetic number, because the mean of its divisors is an integer number (66284400).

Almost surely, 2^4121327616 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 4121327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363302400).

4121327616 is an abundant number, since it is smaller than the sum of its proper divisors (8605277184).

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

4121327616 is a wasteful number, since it uses less digits than its factorization.

4121327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1304 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 4121327616 is about 64197.5670567039. The cubic root of 4121327616 is about 1603.2910924691.

The spelling of 4121327616 in words is "four billion, one hundred twenty-one million, three hundred twenty-seven thousand, six hundred sixteen".