24214432140 has 192 divisors, whose sum is σ = 77011845120. Its totient is φ = 6314837760.

The previous prime is 24214432111. The next prime is 24214432159. The reversal of 24214432140 is 4123441242.

24214432140 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 443 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 4866694 + ... + 4871666.

It is an arithmetic number, because the mean of its divisors is an integer number (401103360).

Almost surely, 2^24214432140 is an apocalyptic number.

24214432140 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 24214432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38505922560).

24214432140 is an abundant number, since it is smaller than the sum of its proper divisors (52797412980).

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

24214432140 is a wasteful number, since it uses less digits than its factorization.

24214432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24214432140 its reverse (4123441242), we get a palindrome (28337873382).

The spelling of 24214432140 in words is "twenty-four billion, two hundred fourteen million, four hundred thirty-two thousand, one hundred forty".