4443822240 has 384 divisors, whose sum is σ = 16633983744. Its totient is φ = 983040000.

The previous prime is 4443822233. The next prime is 4443822281. The reversal of 4443822240 is 422283444.

It is a super-2 number, since 2×4443822240² = 39495112201437235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6932320 + ... + 6932960.

It is an arithmetic number, because the mean of its divisors is an integer number (43317666).

Almost surely, 2^4443822240 is an apocalyptic number.

4443822240 is a gapful number since it is divisible by the number (40) 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 4443822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316991872).

4443822240 is an abundant number, since it is smaller than the sum of its proper divisors (12190161504).

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

4443822240 is a wasteful number, since it uses less digits than its factorization.

4443822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 4443822240 is about 66661.9999699979. Note that the first 4 decimals coincide. The cubic root of 4443822240 is about 1644.0646549007.

The spelling of 4443822240 in words is "four billion, four hundred forty-three million, eight hundred twenty-two thousand, two hundred forty".