4144803840 has 312 divisors, whose sum is σ = 14566874400. Its totient is φ = 1089994752.

The previous prime is 4144803833. The next prime is 4144803851. The reversal of 4144803840 is 483084414.

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 = 4144803795 and 4144803804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20828061 + ... + 20828259.

It is an arithmetic number, because the mean of its divisors is an integer number (46688700).

Almost surely, 2^4144803840 is an apocalyptic number.

4144803840 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 4144803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283437200).

4144803840 is an abundant number, since it is smaller than the sum of its proper divisors (10422070560).

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

4144803840 is a wasteful number, since it uses less digits than its factorization.

4144803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4144803840 is about 64380.1509783877. The cubic root of 4144803840 is about 1606.3295937989.

The spelling of 4144803840 in words is "four billion, one hundred forty-four million, eight hundred three thousand, eight hundred forty".