33042400040 has 48 divisors (see below), whose sum is σ = 80504207100. Its totient is φ = 12200268288.

The previous prime is 33042400037. The next prime is 33042400049. The reversal of 33042400040 is 4000424033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7944869956 + 25097530084 = 89134^2 + 158422^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33042399985 and 33042400021.

It is not an unprimeable number, because it can be changed into a prime (33042400049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2437205 + ... + 2450724.

Almost surely, 2^33042400040 is an apocalyptic number.

It is an amenable number.

33042400040 is an abundant number, since it is smaller than the sum of its proper divisors (47461807060).

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

33042400040 is a wasteful number, since it uses less digits than its factorization.

33042400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887966 (or 4887949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 33042400040 its reverse (4000424033), we get a palindrome (37042824073).

The spelling of 33042400040 in words is "thirty-three billion, forty-two million, four hundred thousand, forty".