220414041120 has 384 divisors, whose sum is σ = 857660299776. Its totient is φ = 46334509056.

The previous prime is 220414041109. The next prime is 220414041151. The reversal of 220414041120 is 21140414022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12090252 + ... + 12108468.

It is an arithmetic number, because the mean of its divisors is an integer number (2233490364).

Almost surely, 2^220414041120 is an apocalyptic number.

220414041120 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 220414041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428830149888).

220414041120 is an abundant number, since it is smaller than the sum of its proper divisors (637246258656).

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

220414041120 is a wasteful number, since it uses less digits than its factorization.

220414041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18532 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220414041120 its reverse (21140414022), we get a palindrome (241554455142).

The spelling of 220414041120 in words is "two hundred twenty billion, four hundred fourteen million, forty-one thousand, one hundred twenty".