33450241440 has 384 divisors, whose sum is σ = 131786403840. Its totient is φ = 6928588800.

The previous prime is 33450241421. The next prime is 33450241477. The reversal of 33450241440 is 4414205433.

It is a super-2 number, since 2×33450241440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33450241398 and 33450241407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13267380 + ... + 13269900.

It is an arithmetic number, because the mean of its divisors is an integer number (343193760).

Almost surely, 2^33450241440 is an apocalyptic number.

33450241440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33450241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65893201920).

33450241440 is an abundant number, since it is smaller than the sum of its proper divisors (98336162400).

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

33450241440 is a wasteful number, since it uses less digits than its factorization.

33450241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 33450241440 its reverse (4414205433), we get a palindrome (37864446873).

The spelling of 33450241440 in words is "thirty-three billion, four hundred fifty million, two hundred forty-one thousand, four hundred forty".