33413122032040 has 32 divisors (see below), whose sum is σ = 75179854620360. Its totient is φ = 13365190137600.

The previous prime is 33413122031899. The next prime is 33413122032041. The reversal of 33413122032040 is 4023022131433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30351482971524 + 3061639060516 = 5509218^2 + 1749754^2 .

It is a super-2 number, since 2×33413122032040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33413122032041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8049250 + ... + 11472430.

Almost surely, 2^{33413122032040} is an apocalyptic number.

It is an amenable number.

33413122032040 is an abundant number, since it is smaller than the sum of its proper divisors (41766732588320).

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

33413122032040 is a wasteful number, since it uses less digits than its factorization.

33413122032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667213 (or 3667209 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33413122032040 its reverse (4023022131433), we get a palindrome (37436144163473).

The spelling of 33413122032040 in words is "thirty-three trillion, four hundred thirteen billion, one hundred twenty-two million, thirty-two thousand, forty".