33408169440 has 192 divisors, whose sum is σ = 107223782400. Its totient is φ = 8741136384.

The previous prime is 33408169423. The next prime is 33408169469. The reversal of 33408169440 is 4496180433.

It is a super-2 number, since 2×33408169440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33408169392 and 33408169401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23476569 + ... + 23477991.

It is an arithmetic number, because the mean of its divisors is an integer number (558457200).

Almost surely, 2^33408169440 is an apocalyptic number.

33408169440 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 33408169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53611891200).

33408169440 is an abundant number, since it is smaller than the sum of its proper divisors (73815612960).

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

33408169440 is a wasteful number, since it uses less digits than its factorization.

33408169440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 33408169440 in words is "thirty-three billion, four hundred eight million, one hundred sixty-nine thousand, four hundred forty".