4401223680 has 384 divisors, whose sum is σ = 16334922240. Its totient is φ = 990904320.

The previous prime is 4401223663. The next prime is 4401223709. The reversal of 4401223680 is 863221044.

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 (30).

It is a congruent number.

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, 20858775 + ... + 20858985.

It is an arithmetic number, because the mean of its divisors is an integer number (42538860).

Almost surely, 2^4401223680 is an apocalyptic number.

4401223680 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 4401223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167461120).

4401223680 is an abundant number, since it is smaller than the sum of its proper divisors (11933698560).

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

4401223680 is a wasteful number, since it uses less digits than its factorization.

4401223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4401223680 is about 66341.7190009424. The cubic root of 4401223680 is about 1638.7944342504.

The spelling of 4401223680 in words is "four billion, four hundred one million, two hundred twenty-three thousand, six hundred eighty".