33132121440 has 192 divisors, whose sum is σ = 120551639040. Its totient is φ = 7559536640.

The previous prime is 33132121433. The next prime is 33132121459. The reversal of 33132121440 is 4412123133.

It is a happy number.

It is a super-2 number, since 2×33132121440² (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 a self number, because there is not a number n which added to its sum of digits gives 33132121440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 94800 + ... + 274319.

It is an arithmetic number, because the mean of its divisors is an integer number (627873120).

Almost surely, 2^33132121440 is an apocalyptic number.

33132121440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33132121440 is an abundant number, since it is smaller than the sum of its proper divisors (87419517600).

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

33132121440 is a wasteful number, since it uses less digits than its factorization.

33132121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369165 (or 369157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33132121440 its reverse (4412123133), we get a palindrome (37544244573).

The spelling of 33132121440 in words is "thirty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, four hundred forty".