33120144340 has 12 divisors (see below), whose sum is σ = 69552303156. Its totient is φ = 13248057728.

The previous prime is 33120144301. The next prime is 33120144377. The reversal of 33120144340 is 4344102133.

It can be written as a sum of positive squares in 2 ways, for example, as 17509640976 + 15610503364 = 132324^2 + 124942^2 .

It is a super-2 number, since 2×33120144340² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 828003589 + ... + 828003628.

It is an arithmetic number, because the mean of its divisors is an integer number (5796025263).

Almost surely, 2^33120144340 is an apocalyptic number.

It is an amenable number.

33120144340 is an abundant number, since it is smaller than the sum of its proper divisors (36432158816).

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

33120144340 is a wasteful number, since it uses less digits than its factorization.

33120144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656007226 (or 1656007224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 33120144340 its reverse (4344102133), we get a palindrome (37464246473).

The spelling of 33120144340 in words is "thirty-three billion, one hundred twenty million, one hundred forty-four thousand, three hundred forty".