220132440022404 has 1536 divisors, whose sum is σ = 733594956595200. Its totient is φ = 49726497300480.

The previous prime is 220132440022351. The next prime is 220132440022457. The reversal of 220132440022404 is 404220044231022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220132440022351) and next prime (220132440022457).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 154262395939 + ... + 154262397365.

It is an arithmetic number, because the mean of its divisors is an integer number (477600883200).

Almost surely, 2^{220132440022404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220132440022404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366797478297600).

220132440022404 is an abundant number, since it is smaller than the sum of its proper divisors (513462516572796).

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

220132440022404 is a wasteful number, since it uses less digits than its factorization.

220132440022404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 220132440022404 its reverse (404220044231022), we get a palindrome (624352484253426).

The spelling of 220132440022404 in words is "two hundred twenty trillion, one hundred thirty-two billion, four hundred forty million, twenty-two thousand, four hundred four".