4390848000 has 1200 divisors, whose sum is σ = 20545997472. Its totient is φ = 912384000.

The previous prime is 4390847969. The next prime is 4390848013. The reversal of 4390848000 is 8480934.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 399167995 + ... + 399168005.

Almost surely, 2^4390848000 is an apocalyptic number.

4390848000 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 4390848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272998736).

4390848000 is an abundant number, since it is smaller than the sum of its proper divisors (16155149472).

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

4390848000 is an equidigital number, since it uses as much as digits as its factorization.

4390848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4390848000 is about 66263.4741014988. The cubic root of 4390848000 is about 1637.5056270809.

The spelling of 4390848000 in words is "four billion, three hundred ninety million, eight hundred forty-eight thousand".