33124144140 has 144 divisors (see below), whose sum is σ = 104957850816. Its totient is φ = 8439974400.

The previous prime is 33124144129. The next prime is 33124144159. The reversal of 33124144140 is 4144142133.

33124144140 is a `hidden beast` number, since 3 + 3 + 1 + 241 + 4 + 414 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4388770 + ... + 4396310.

It is an arithmetic number, because the mean of its divisors is an integer number (728873964).

Almost surely, 2^33124144140 is an apocalyptic number.

33124144140 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 33124144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52478925408).

33124144140 is an abundant number, since it is smaller than the sum of its proper divisors (71833706676).

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

33124144140 is a wasteful number, since it uses less digits than its factorization.

33124144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 33124144140 its reverse (4144142133), we get a palindrome (37268286273).

The spelling of 33124144140 in words is "thirty-three billion, one hundred twenty-four million, one hundred forty-four thousand, one hundred forty".