4420331520 has 384 divisors, whose sum is σ = 15699640320. Its totient is φ = 1052835840.

The previous prime is 4420331519. The next prime is 4420331543. The reversal of 4420331520 is 251330244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34805697 + ... + 34805823.

It is an arithmetic number, because the mean of its divisors is an integer number (40884480).

Almost surely, 2^4420331520 is an apocalyptic number.

4420331520 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 4420331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849820160).

4420331520 is an abundant number, since it is smaller than the sum of its proper divisors (11279308800).

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

4420331520 is a wasteful number, since it uses less digits than its factorization.

4420331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4420331520 is about 66485.5737735638. The cubic root of 4420331520 is about 1641.1626100846.

Adding to 4420331520 its reverse (251330244), we get a palindrome (4671661764).

It can be divided in two parts, 4420331 and 520, that added together give a triangular number (4420851 = T₂₉₇₃).

The spelling of 4420331520 in words is "four billion, four hundred twenty million, three hundred thirty-one thousand, five hundred twenty".