4405248000 has 360 divisors, whose sum is σ = 15948354240. Its totient is φ = 1169817600.

The previous prime is 4405247969. The next prime is 4405248013. The reversal of 4405248000 is 8425044.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 18431881 + ... + 18432119.

It is an arithmetic number, because the mean of its divisors is an integer number (44300984).

Almost surely, 2^4405248000 is an apocalyptic number.

4405248000 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 4405248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974177120).

4405248000 is an abundant number, since it is smaller than the sum of its proper divisors (11543106240).

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

4405248000 is an equidigital number, since it uses as much as digits as its factorization.

4405248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4405248000 is about 66372.0423069834. The cubic root of 4405248000 is about 1639.2937669080.

It can be divided in two parts, 4405 and 248000, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 4405248000 in words is "four billion, four hundred five million, two hundred forty-eight thousand".