220243481640 has 768 divisors, whose sum is σ = 962961592320. Its totient is φ = 42321346560.

The previous prime is 220243481639. The next prime is 220243481641. The reversal of 220243481640 is 46184342022.

220243481640 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 3 + 4 + 8 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (220243481639) and next prime (220243481641).

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 = 220243481595 and 220243481604.

It is not an unprimeable number, because it can be changed into a prime (220243481641) 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, 17258142 + ... + 17270898.

It is an arithmetic number, because the mean of its divisors is an integer number (1253856240).

Almost surely, 2^220243481640 is an apocalyptic number.

220243481640 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 220243481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481480796160).

220243481640 is an abundant number, since it is smaller than the sum of its proper divisors (742718110680).

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

220243481640 is a wasteful number, since it uses less digits than its factorization.

220243481640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12842 (or 12835 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 220243481640 in words is "two hundred twenty billion, two hundred forty-three million, four hundred eighty-one thousand, six hundred forty".