220314055440 has 160 divisors (see below), whose sum is σ = 723345417216. Its totient is φ = 55279452160.

The previous prime is 220314055439. The next prime is 220314055459. The reversal of 220314055440 is 44550413022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220314055398 and 220314055407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29049889 + ... + 29057471.

Almost surely, 2^220314055440 is an apocalyptic number.

220314055440 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 220314055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361672708608).

220314055440 is an abundant number, since it is smaller than the sum of its proper divisors (503031361776).

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

220314055440 is a wasteful number, since it uses less digits than its factorization.

220314055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14737 (or 14731 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 220314055440 its reverse (44550413022), we get a palindrome (264864468462).

The spelling of 220314055440 in words is "two hundred twenty billion, three hundred fourteen million, fifty-five thousand, four hundred forty".