4428997386240 has 672 divisors, whose sum is σ = 16524236663424. Its totient is φ = 1009979228160.

The previous prime is 4428997386217. The next prime is 4428997386271. The reversal of 4428997386240 is 426837998244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 4883127867 + ... + 4883128773.

It is an arithmetic number, because the mean of its divisors is an integer number (24589637892).

Almost surely, 2^{4428997386240} is an apocalyptic number.

4428997386240 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 4428997386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262118331712).

4428997386240 is an abundant number, since it is smaller than the sum of its proper divisors (12095239277184).

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

4428997386240 is an equidigital number, since it uses as much as digits as its factorization.

4428997386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 4428997386240 in words is "four trillion, four hundred twenty-eight billion, nine hundred ninety-seven million, three hundred eighty-six thousand, two hundred forty".