33442240440 has 128 divisors (see below), whose sum is σ = 114696000000. Its totient is φ = 7641481728.

The previous prime is 33442240427. The next prime is 33442240451. The reversal of 33442240440 is 4404224433.

It is a super-2 number, since 2×33442240440² (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 = 33442240398 and 33442240407.

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, 4455811 + ... + 4463309.

It is an arithmetic number, because the mean of its divisors is an integer number (896062500).

Almost surely, 2^33442240440 is an apocalyptic number.

33442240440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33442240440 is an abundant number, since it is smaller than the sum of its proper divisors (81253759560).

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

33442240440 is a wasteful number, since it uses less digits than its factorization.

33442240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 33442240440 its reverse (4404224433), we get a palindrome (37846464873).

The spelling of 33442240440 in words is "thirty-three billion, four hundred forty-two million, two hundred forty thousand, four hundred forty".