33011011033040 has 80 divisors (see below), whose sum is σ = 77225035281408. Its totient is φ = 13122788755968.

The previous prime is 33011011033027. The next prime is 33011011033079. The reversal of 33011011033040 is 4033011011033.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 372991034 + ... + 373079526.

Almost surely, 2^{33011011033040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33011011033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38612517640704).

33011011033040 is an abundant number, since it is smaller than the sum of its proper divisors (44214024248368).

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

33011011033040 is a wasteful number, since it uses less digits than its factorization.

33011011033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117276 (or 117270 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33011011033040 its reverse (4033011011033), we get a palindrome (37044022044073).

The spelling of 33011011033040 in words is "thirty-three trillion, eleven billion, eleven million, thirty-three thousand, forty".