33442341323220 has 288 divisors, whose sum is σ = 107241752217600. Its totient is φ = 8418978247680.

The previous prime is 33442341323213. The next prime is 33442341323231. The reversal of 33442341323220 is 2232314324433.

33442341323220 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 2 + 3 + 413 + 232 + 2 + 0 = 666.

It is a super-2 number, since 2×33442341323220² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96674365 + ... + 97019675.

It is an arithmetic number, because the mean of its divisors is an integer number (372367195200).

Almost surely, 2^{33442341323220} is an apocalyptic number.

33442341323220 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 33442341323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53620876108800).

33442341323220 is an abundant number, since it is smaller than the sum of its proper divisors (73799410894380).

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

33442341323220 is a wasteful number, since it uses less digits than its factorization.

33442341323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345655 (or 345650 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 33442341323220 its reverse (2232314324433), we get a palindrome (35674655647653).

The spelling of 33442341323220 in words is "thirty-three trillion, four hundred forty-two billion, three hundred forty-one million, three hundred twenty-three thousand, two hundred twenty".