220457677440 has 1024 divisors, whose sum is σ = 949328916480. Its totient is φ = 42024960000.

The previous prime is 220457677343. The next prime is 220457677457. The reversal of 220457677440 is 44776754022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 220457677440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482401692 + ... + 482402148.

It is an arithmetic number, because the mean of its divisors is an integer number (927079020).

Almost surely, 2^220457677440 is an apocalyptic number.

220457677440 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 220457677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474664458240).

220457677440 is an abundant number, since it is smaller than the sum of its proper divisors (728871239040).

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

220457677440 is a wasteful number, since it uses less digits than its factorization.

220457677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 48.

The spelling of 220457677440 in words is "two hundred twenty billion, four hundred fifty-seven million, six hundred seventy-seven thousand, four hundred forty".