220490449440 has 432 divisors, whose sum is σ = 749727969984. Its totient is φ = 54365921280.

The previous prime is 220490449423. The next prime is 220490449441. The reversal of 220490449440 is 44944094022.

It is a junction number, because it is equal to n+sod(n) for n = 220490449392 and 220490449401.

It is not an unprimeable number, because it can be changed into a prime (220490449441) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2022848106 + ... + 2022848214.

It is an arithmetic number, because the mean of its divisors is an integer number (1735481412).

Almost surely, 2^220490449440 is an apocalyptic number.

220490449440 is a gapful number since it is divisible by the number (20) 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 220490449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374863984992).

220490449440 is an abundant number, since it is smaller than the sum of its proper divisors (529237520544).

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

220490449440 is a wasteful number, since it uses less digits than its factorization.

220490449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 220490449440 in words is "two hundred twenty billion, four hundred ninety million, four hundred forty-nine thousand, four hundred forty".