24342414040 has 192 divisors, whose sum is σ = 64592199360. Its totient is φ = 8231731200.

The previous prime is 24342414029. The next prime is 24342414077. The reversal of 24342414040 is 4041424342.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68958504 + ... + 68958856.

It is an arithmetic number, because the mean of its divisors is an integer number (336417705).

Almost surely, 2^24342414040 is an apocalyptic number.

24342414040 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 24342414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296099680).

24342414040 is an abundant number, since it is smaller than the sum of its proper divisors (40249785320).

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

24342414040 is a wasteful number, since it uses less digits than its factorization.

24342414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 24342414040 its reverse (4041424342), we get a palindrome (28383838382).

The spelling of 24342414040 in words is "twenty-four billion, three hundred forty-two million, four hundred fourteen thousand, forty".