4428491408640 has 504 divisors, whose sum is σ = 17127599295240. Its totient is φ = 1090087206912.

The previous prime is 4428491408611. The next prime is 4428491408723. The reversal of 4428491408640 is 468041948244.

4428491408640 is a `hidden beast` number, since 442 + 8 + 49 + 1 + 40 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9616548096 + 4418874860544 = 98064^2 + 2102112^2 .

It is a super-2 number, since 2×4428491408640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 11948026 + ... + 12313094.

It is an arithmetic number, because the mean of its divisors is an integer number (33983331935).

Almost surely, 2^{4428491408640} is an apocalyptic number.

4428491408640 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 4428491408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563799647620).

4428491408640 is an abundant number, since it is smaller than the sum of its proper divisors (12699107886600).

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

4428491408640 is an equidigital number, since it uses as much as digits as its factorization.

4428491408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365121 (or 365092 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4428491408640 in words is "four trillion, four hundred twenty-eight billion, four hundred ninety-one million, four hundred eight thousand, six hundred forty".