33422304322440 has 768 divisors, whose sum is σ = 127850967129600. Its totient is φ = 7482278707200.

The previous prime is 33422304322427. The next prime is 33422304322493. The reversal of 33422304322440 is 4422340322433.

33422304322440 is a `hidden beast` number, since 3 + 3 + 4 + 22 + 304 + 322 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×33422304322440² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33422304322395 and 33422304322404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 755779530 + ... + 755823750.

It is an arithmetic number, because the mean of its divisors is an integer number (166472613450).

Almost surely, 2^{33422304322440} is an apocalyptic number.

33422304322440 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 33422304322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63925483564800).

33422304322440 is an abundant number, since it is smaller than the sum of its proper divisors (94428662807160).

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

33422304322440 is a wasteful number, since it uses less digits than its factorization.

33422304322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44478 (or 44471 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 33422304322440 its reverse (4422340322433), we get a palindrome (37844644644873).

The spelling of 33422304322440 in words is "thirty-three trillion, four hundred twenty-two billion, three hundred four million, three hundred twenty-two thousand, four hundred forty".