7211421216 has 144 divisors (see below), whose sum is σ = 22012341624. Its totient is φ = 2231304192.

The previous prime is 7211421209. The next prime is 7211421247. The reversal of 7211421216 is 6121241127.

7211421216 is a `hidden beast` number, since 7 + 21 + 1 + 421 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7122684816 + 88736400 = 84396^2 + 9420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 7211421216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347320 + ... + 367496.

Almost surely, 2^7211421216 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 7211421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006170812).

7211421216 is an abundant number, since it is smaller than the sum of its proper divisors (14800920408).

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

7211421216 is a wasteful number, since it uses less digits than its factorization.

7211421216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283 (or 20272 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 7211421216 is about 84920.0872349999. The cubic root of 7211421216 is about 1931.9992541437. Note that the first 3 decimals are identical.

The spelling of 7211421216 in words is "seven billion, two hundred eleven million, four hundred twenty-one thousand, two hundred sixteen".