33420040224 has 48 divisors (see below), whose sum is σ = 87802817760. Its totient is φ = 11130462720.

The previous prime is 33420040207. The next prime is 33420040231. The reversal of 33420040224 is 42204002433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33420040224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 33420040194 and 33420040203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36229 + ... + 261060.

It is an arithmetic number, because the mean of its divisors is an integer number (1829225370).

Almost surely, 2^33420040224 is an apocalyptic number.

It is an amenable number.

33420040224 is an abundant number, since it is smaller than the sum of its proper divisors (54382777536).

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

33420040224 is a wasteful number, since it uses less digits than its factorization.

33420040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298473 (or 298465 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 33420040224 its reverse (42204002433), we get a palindrome (75624042657).

The spelling of 33420040224 in words is "thirty-three billion, four hundred twenty million, forty thousand, two hundred twenty-four".