220985677440 has 1024 divisors, whose sum is σ = 894158438400. Its totient is φ = 51732172800.

The previous prime is 220985677391. The next prime is 220985677469. The reversal of 220985677440 is 44776589022.

220985677440 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 8 + 567 + 74 + 4 + 0 = 666.

220985677440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477290649 + ... + 477291111.

It is an arithmetic number, because the mean of its divisors is an integer number (873201600).

Almost surely, 2^220985677440 is an apocalyptic number.

220985677440 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 220985677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447079219200).

220985677440 is an abundant number, since it is smaller than the sum of its proper divisors (673172760960).

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

220985677440 is an equidigital number, since it uses as much as digits as its factorization.

220985677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 220985677440 in words is "two hundred twenty billion, nine hundred eighty-five million, six hundred seventy-seven thousand, four hundred forty".