8211244440 has 512 divisors, whose sum is σ = 31124736000. Its totient is φ = 1690730496.

The previous prime is 8211244417. The next prime is 8211244453. The reversal of 8211244440 is 444421128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8211244398 and 8211244407.

It is a congruent number.

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, 52300842 + ... + 52300998.

It is an arithmetic number, because the mean of its divisors is an integer number (60790500).

Almost surely, 2^8211244440 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 8211244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562368000).

8211244440 is an abundant number, since it is smaller than the sum of its proper divisors (22913491560).

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

8211244440 is a wasteful number, since it uses less digits than its factorization.

8211244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 8211244440 is about 90615.9171448372. The cubic root of 8211244440 is about 2017.4509919013.

Adding to 8211244440 its reverse (444421128), we get a palindrome (8655665568).

The spelling of 8211244440 in words is "eight billion, two hundred eleven million, two hundred forty-four thousand, four hundred forty".