4221314044416 has 1280 divisors, whose sum is σ = 15648918405120. Its totient is φ = 1095975567360.

The previous prime is 4221314044403. The next prime is 4221314044463. The reversal of 4221314044416 is 6144404131224.

4221314044416 is a `hidden beast` number, since 4 + 221 + 3 + 14 + 0 + 4 + 4 + 416 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13573356901 + ... + 13573357211.

It is an arithmetic number, because the mean of its divisors is an integer number (12225717504).

Almost surely, 2^{4221314044416} 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 4221314044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824459202560).

4221314044416 is an abundant number, since it is smaller than the sum of its proper divisors (11427604360704).

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

4221314044416 is a wasteful number, since it uses less digits than its factorization.

4221314044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4221314044416 in words is "four trillion, two hundred twenty-one billion, three hundred fourteen million, forty-four thousand, four hundred sixteen".