33044240400 has 120 divisors (see below), whose sum is σ = 107041407840. Its totient is φ = 8712760320.

The previous prime is 33044240381. The next prime is 33044240483. The reversal of 33044240400 is 404244033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33044240400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47902 + ... + 261501.

It is an arithmetic number, because the mean of its divisors is an integer number (892011732).

Almost surely, 2^33044240400 is an apocalyptic number.

33044240400 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 33044240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53520703920).

33044240400 is an abundant number, since it is smaller than the sum of its proper divisors (73997167440).

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

33044240400 is a wasteful number, since it uses less digits than its factorization.

33044240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309513 (or 309502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 33044240400 its reverse (404244033), we get a palindrome (33448484433).

The spelling of 33044240400 in words is "thirty-three billion, forty-four million, two hundred forty thousand, four hundred".