33442404240 has 160 divisors (see below), whose sum is σ = 119530849536. Its totient is φ = 7576289280.

The previous prime is 33442404077. The next prime is 33442404253. The reversal of 33442404240 is 4240424433.

It is a super-2 number, since 2×33442404240² (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 = 33442404198 and 33442404207.

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, 101760 + ... + 277920.

Almost surely, 2^33442404240 is an apocalyptic number.

33442404240 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 33442404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59765424768).

33442404240 is an abundant number, since it is smaller than the sum of its proper divisors (86088445296).

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

33442404240 is a wasteful number, since it uses less digits than its factorization.

33442404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176297 (or 176291 counting only the distinct ones).

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

Adding to 33442404240 its reverse (4240424433), we get a palindrome (37682828673).

The spelling of 33442404240 in words is "thirty-three billion, four hundred forty-two million, four hundred four thousand, two hundred forty".