33413004200 has 48 divisors (see below), whose sum is σ = 77879150460. Its totient is φ = 13331840000.

The previous prime is 33413004143. The next prime is 33413004241. The reversal of 33413004200 is 240031433.

It can be written as a sum of positive squares in 6 ways, for example, as 25022810596 + 8390193604 = 158186^2 + 91598^2 .

It is a super-2 number, since 2×33413004200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128111 + ... + 288510.

Almost surely, 2^33413004200 is an apocalyptic number.

It is an amenable number.

33413004200 is an abundant number, since it is smaller than the sum of its proper divisors (44466146260).

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

33413004200 is a wasteful number, since it uses less digits than its factorization.

33413004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417038 (or 417029 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33413004200 its reverse (240031433), we get a palindrome (33653035633).

The spelling of 33413004200 in words is "thirty-three billion, four hundred thirteen million, four thousand, two hundred".