33400440400 has 30 divisors (see below), whose sum is σ = 80244559022. Its totient is φ = 13360176000.

The previous prime is 33400440343. The next prime is 33400440427. The reversal of 33400440400 is 404400433.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15303744 + 33385136656 = 3912^2 + 182716^2 .

It is a super-2 number, since 2×33400440400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41750151 + ... + 41750950.

Almost surely, 2^33400440400 is an apocalyptic number.

It is an amenable number.

33400440400 is an abundant number, since it is smaller than the sum of its proper divisors (46844118622).

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

33400440400 is a wasteful number, since it uses less digits than its factorization.

33400440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83501119 (or 83501108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 33400440400 its reverse (404400433), we get a palindrome (33804840833).

The spelling of 33400440400 in words is "thirty-three billion, four hundred million, four hundred forty thousand, four hundred".