4444683840 has 504 divisors, whose sum is σ = 16647429240. Its totient is φ = 1128701952.

The previous prime is 4444683839. The next prime is 4444683917. The reversal of 4444683840 is 483864444.

It can be written as a sum of positive squares in 4 ways, for example, as 574848576 + 3869835264 = 23976^2 + 62208^2 .

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 71 ways as a sum of consecutive naturals, for example, 60886044 + ... + 60886116.

Almost surely, 2^4444683840 is an apocalyptic number.

4444683840 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 4444683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323714620).

4444683840 is an abundant number, since it is smaller than the sum of its proper divisors (12202745400).

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

4444683840 is an frugal number, since it uses more digits than its factorization.

4444683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 4444683840 is about 66668.4621091562. The cubic root of 4444683840 is about 1644.1709023675.

The spelling of 4444683840 in words is "four billion, four hundred forty-four million, six hundred eighty-three thousand, eight hundred forty".