7844221440 has 800 divisors, whose sum is σ = 32441048640. Its totient is φ = 1791590400.

The previous prime is 7844221439. The next prime is 7844221477. The reversal of 7844221440 is 441224487.

7844221440 is a `hidden beast` number, since 78 + 442 + 2 + 144 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7844221395 and 7844221404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43338150 + ... + 43338330.

Almost surely, 2^7844221440 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 7844221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220524320).

7844221440 is an abundant number, since it is smaller than the sum of its proper divisors (24596827200).

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

7844221440 is a wasteful number, since it uses less digits than its factorization.

7844221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 7844221440 is about 88567.6094291813. The cubic root of 7844221440 is about 1986.9332695279.

It can be divided in two parts, 784 and 4221440, that added together give a palindrome (4222224).

The spelling of 7844221440 in words is "seven billion, eight hundred forty-four million, two hundred twenty-one thousand, four hundred forty".