33040211620224 has 128 divisors (see below), whose sum is σ = 87976340524800. Its totient is φ = 10986658973696.

The previous prime is 33040211620219. The next prime is 33040211620277. The reversal of 33040211620224 is 42202611204033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 33040211620191 and 33040211620200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451745962 + ... + 451819094.

It is an arithmetic number, because the mean of its divisors is an integer number (687315160350).

Almost surely, 2^{33040211620224} 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 33040211620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988170262400).

33040211620224 is an abundant number, since it is smaller than the sum of its proper divisors (54936128904576).

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

33040211620224 is a wasteful number, since it uses less digits than its factorization.

33040211620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75992 (or 75980 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 33040211620224 its reverse (42202611204033), we get a palindrome (75242822824257).

The spelling of 33040211620224 in words is "thirty-three trillion, forty billion, two hundred eleven million, six hundred twenty thousand, two hundred twenty-four".