33144040440252 has 288 divisors, whose sum is σ = 97409861412864. Its totient is φ = 9307293465600.

The previous prime is 33144040440109. The next prime is 33144040440253. The reversal of 33144040440252 is 25204404044133.

33144040440252 is a `hidden beast` number, since 33 + 144 + 0 + 40 + 440 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144040440253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1622232477 + ... + 1622252907.

Almost surely, 2^{33144040440252} 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 33144040440252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704930706432).

33144040440252 is an abundant number, since it is smaller than the sum of its proper divisors (64265820972612).

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

33144040440252 is a wasteful number, since it uses less digits than its factorization.

33144040440252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21049 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 33144040440252 its reverse (25204404044133), we get a palindrome (58348444484385).

The spelling of 33144040440252 in words is "thirty-three trillion, one hundred forty-four billion, forty million, four hundred forty thousand, two hundred fifty-two".