4398741760 has 288 divisors, whose sum is σ = 12627014400. Its totient is φ = 1466744832.

The previous prime is 4398741749. The next prime is 4398741773. The reversal of 4398741760 is 671478934.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18878604 + ... + 18878836.

It is an arithmetic number, because the mean of its divisors is an integer number (43843800).

Almost surely, 2^4398741760 is an apocalyptic number.

4398741760 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 4398741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313507200).

4398741760 is an abundant number, since it is smaller than the sum of its proper divisors (8228272640).

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

4398741760 is an equidigital number, since it uses as much as digits as its factorization.

4398741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 4398741760 is about 66323.0107881118. The cubic root of 4398741760 is about 1638.4863289167.

The spelling of 4398741760 in words is "four billion, three hundred ninety-eight million, seven hundred forty-one thousand, seven hundred sixty".