220538741040 has 960 divisors, whose sum is σ = 862093393920. Its totient is φ = 51627663360.

The previous prime is 220538740997. The next prime is 220538741041. The reversal of 220538741040 is 40147835022.

It is a happy number.

220538741040 is a `hidden beast` number, since 2 + 2 + 0 + 538 + 74 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220538740986 and 220538741004.

It is not an unprimeable number, because it can be changed into a prime (220538741041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1683501775 + ... + 1683501905.

It is an arithmetic number, because the mean of its divisors is an integer number (898013952).

Almost surely, 2^220538741040 is an apocalyptic number.

220538741040 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 220538741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431046696960).

220538741040 is an abundant number, since it is smaller than the sum of its proper divisors (641554652880).

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

220538741040 is a wasteful number, since it uses less digits than its factorization.

220538741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 220538741040 in words is "two hundred twenty billion, five hundred thirty-eight million, seven hundred forty-one thousand, forty".