33144241044420 has 288 divisors, whose sum is σ = 116592877215360. Its totient is φ = 7536706560000.

The previous prime is 33144241044331. The next prime is 33144241044427. The reversal of 33144241044420 is 2444014244133.

33144241044420 is a `hidden beast` number, since 33 + 144 + 2 + 41 + 0 + 4 + 442 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (33144241044427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561901 + ... + 8161140.

It is an arithmetic number, because the mean of its divisors is an integer number (404836379220).

Almost surely, 2^{33144241044420} is an apocalyptic number.

33144241044420 is a gapful number since it is divisible by the number (30) 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 33144241044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296438607680).

33144241044420 is an abundant number, since it is smaller than the sum of its proper divisors (83448636170940).

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

33144241044420 is a wasteful number, since it uses less digits than its factorization.

33144241044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723187 (or 8723182 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 33144241044420 its reverse (2444014244133), we get a palindrome (35588255288553).

The spelling of 33144241044420 in words is "thirty-three trillion, one hundred forty-four billion, two hundred forty-one million, forty-four thousand, four hundred twenty".