220343340040000 has 280 divisors, whose sum is σ = 548093536125696. Its totient is φ = 87861312000000.

The previous prime is 220343340039931. The next prime is 220343340040007. The reversal of 220343340040000 is 40043343022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220343340040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19463234340 + ... + 19463245660.

Almost surely, 2^{220343340040000} is an apocalyptic number.

220343340040000 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 220343340040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274046768062848).

220343340040000 is an abundant number, since it is smaller than the sum of its proper divisors (327750196085696).

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

220343340040000 is an equidigital number, since it uses as much as digits as its factorization.

220343340040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 220343340040000 its reverse (40043343022), we get a palindrome (220383383383022).

The spelling of 220343340040000 in words is "two hundred twenty trillion, three hundred forty-three billion, three hundred forty million, forty thousand".