8122332637440 has 2304 divisors, whose sum is σ = 36243357696000. Its totient is φ = 1718530007040.

The previous prime is 8122332637429. The next prime is 8122332637459. The reversal of 8122332637440 is 447362332218.

8122332637440 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 3 + 3 + 2 + 637 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-4 number, since 4×8122332637440⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 262010730225 + ... + 262010730255.

It is an arithmetic number, because the mean of its divisors is an integer number (15730624000).

Almost surely, 2^{8122332637440} is an apocalyptic number.

8122332637440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8122332637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121678848000).

8122332637440 is an abundant number, since it is smaller than the sum of its proper divisors (28121025058560).

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

8122332637440 is an frugal number, since it uses more digits than its factorization.

8122332637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 8122332637440 its reverse (447362332218), we get a palindrome (8569694969658).

The spelling of 8122332637440 in words is "eight trillion, one hundred twenty-two billion, three hundred thirty-two million, six hundred thirty-seven thousand, four hundred forty".