220494637440 has 2304 divisors, whose sum is σ = 1044845568000. Its totient is φ = 42268262400.

The previous prime is 220494637339. The next prime is 220494637459. The reversal of 220494637440 is 44736494022.

220494637440 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 9 + 4 + 637 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2791071321 + ... + 2791071399.

It is an arithmetic number, because the mean of its divisors is an integer number (453492000).

Almost surely, 2^220494637440 is an apocalyptic number.

220494637440 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 220494637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522422784000).

220494637440 is an abundant number, since it is smaller than the sum of its proper divisors (824350930560).

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

220494637440 is a wasteful number, since it uses less digits than its factorization.

220494637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 220494637440 in words is "two hundred twenty billion, four hundred ninety-four million, six hundred thirty-seven thousand, four hundred forty".