24132000332440 has 512 divisors, whose sum is σ = 77217322291200. Its totient is φ = 6532398120960.

The previous prime is 24132000332329. The next prime is 24132000332441. The reversal of 24132000332440 is 4423300023142.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24132000332399 and 24132000332408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24132000332441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3184897932 + ... + 3184905508.

It is an arithmetic number, because the mean of its divisors is an integer number (150815082600).

Almost surely, 2^{24132000332440} is an apocalyptic number.

24132000332440 is a gapful number since it is divisible by the number (20) 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 24132000332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38608661145600).

24132000332440 is an abundant number, since it is smaller than the sum of its proper divisors (53085321958760).

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

24132000332440 is a wasteful number, since it uses less digits than its factorization.

24132000332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 24132000332440 its reverse (4423300023142), we get a palindrome (28555300355582).

The spelling of 24132000332440 in words is "twenty-four trillion, one hundred thirty-two billion, three hundred thirty-two thousand, four hundred forty".