33020400440 has 64 divisors (see below), whose sum is σ = 75566100960. Its totient is φ = 12982648320.

The previous prime is 33020400437. The next prime is 33020400443. The reversal of 33020400440 is 4400402033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33020400437) and next prime (33020400443).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020400443) 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 15 ways as a sum of consecutive naturals, for example, 4356494 + ... + 4364066.

Almost surely, 2^33020400440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33020400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37783050480).

33020400440 is an abundant number, since it is smaller than the sum of its proper divisors (42545700520).

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

33020400440 is a wasteful number, since it uses less digits than its factorization.

33020400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9428 counting only the distinct ones).

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

Adding to 33020400440 its reverse (4400402033), we get a palindrome (37420802473).

The spelling of 33020400440 in words is "thirty-three billion, twenty million, four hundred thousand, four hundred forty".