33413741440 has 32 divisors (see below), whose sum is σ = 79879727160. Its totient is φ = 13365496320.

The previous prime is 33413741429. The next prime is 33413741447. The reversal of 33413741440 is 4414731433.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×33413741440³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33413741396 and 33413741405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413741447) 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 3 ways as a sum of consecutive naturals, for example, 26103846 + ... + 26105125.

Almost surely, 2^33413741440 is an apocalyptic number.

It is an amenable number.

33413741440 is an abundant number, since it is smaller than the sum of its proper divisors (46465985720).

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

33413741440 is an equidigital number, since it uses as much as digits as its factorization.

33413741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52208990 (or 52208978 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 33413741440 in words is "thirty-three billion, four hundred thirteen million, seven hundred forty-one thousand, four hundred forty".