33430341120 has 160 divisors (see below), whose sum is σ = 116588609280. Its totient is φ = 8104304640.

The previous prime is 33430341083. The next prime is 33430341127. The reversal of 33430341120 is 2114303433.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33430341120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33430341127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113380 + ... + 282339.

It is an arithmetic number, because the mean of its divisors is an integer number (728678808).

Almost surely, 2^33430341120 is an apocalyptic number.

33430341120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33430341120 is an abundant number, since it is smaller than the sum of its proper divisors (83158268160).

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

33430341120 is a wasteful number, since it uses less digits than its factorization.

33430341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395756 (or 395740 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33430341120 its reverse (2114303433), we get a palindrome (35544644553).

The spelling of 33430341120 in words is "thirty-three billion, four hundred thirty million, three hundred forty-one thousand, one hundred twenty".