33369412006400 has 120 divisors (see below), whose sum is σ = 83839768714944. Its totient is φ = 13159767756800.

The previous prime is 33369412006373. The next prime is 33369412006409. The reversal of 33369412006400 is 460021496333.

It is a super-2 number, since 2×33369412006400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33369412006409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17450252 + ... + 19267851.

Almost surely, 2^{33369412006400} is an apocalyptic number.

It is an amenable number.

33369412006400 is an abundant number, since it is smaller than the sum of its proper divisors (50470356708544).

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

33369412006400 is an equidigital number, since it uses as much as digits as its factorization.

33369412006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36718202 (or 36718181 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 33369412006400 in words is "thirty-three trillion, three hundred sixty-nine billion, four hundred twelve million, six thousand, four hundred".