243002134441220 has 288 divisors, whose sum is σ = 652988274720768. Its totient is φ = 74339207712000.

The previous prime is 243002134441133. The next prime is 243002134441243. The reversal of 243002134441220 is 22144431200342.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 267758015 + ... + 268664025.

It is an arithmetic number, because the mean of its divisors is an integer number (2267320398336).

Almost surely, 2^{243002134441220} is an apocalyptic number.

243002134441220 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 243002134441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326494137360384).

243002134441220 is an abundant number, since it is smaller than the sum of its proper divisors (409986140279548).

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

243002134441220 is a wasteful number, since it uses less digits than its factorization.

243002134441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906343 (or 906330 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 243002134441220 its reverse (22144431200342), we get a palindrome (265146565641562).

The spelling of 243002134441220 in words is "two hundred forty-three trillion, two billion, one hundred thirty-four million, four hundred forty-one thousand, two hundred twenty".