33442434144 has 384 divisors, whose sum is σ = 116218368000. Its totient is φ = 9351683712.

The previous prime is 33442434133. The next prime is 33442434197. The reversal of 33442434144 is 44143424433.

33442434144 is a `hidden beast` number, since 33 + 442 + 43 + 4 + 144 = 666.

It is a super-2 number, since 2×33442434144² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33442434099 and 33442434108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711541129 + ... + 711541175.

It is an arithmetic number, because the mean of its divisors is an integer number (302652000).

Almost surely, 2^33442434144 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 33442434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58109184000).

33442434144 is an abundant number, since it is smaller than the sum of its proper divisors (82775933856).

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

33442434144 is an frugal number, since it uses more digits than its factorization.

33442434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 33442434144 its reverse (44143424433), we get a palindrome (77585858577).

The spelling of 33442434144 in words is "thirty-three billion, four hundred forty-two million, four hundred thirty-four thousand, one hundred forty-four".