24132233440 has 144 divisors (see below), whose sum is σ = 66430282464. Its totient is φ = 8260224000.

The previous prime is 24132233429. The next prime is 24132233473. The reversal of 24132233440 is 4433223142.

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 = 24132233399 and 24132233408.

It is a congruent number.

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, 5493645 + ... + 5498035.

It is an arithmetic number, because the mean of its divisors is an integer number (461321406).

Almost surely, 2^24132233440 is an apocalyptic number.

24132233440 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 24132233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33215141232).

24132233440 is an abundant number, since it is smaller than the sum of its proper divisors (42298049024).

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

24132233440 is a wasteful number, since it uses less digits than its factorization.

24132233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5106 counting only the distinct ones).

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

Adding to 24132233440 its reverse (4433223142), we get a palindrome (28565456582).

The spelling of 24132233440 in words is "twenty-four billion, one hundred thirty-two million, two hundred thirty-three thousand, four hundred forty".