24140014000 has 80 divisors (see below), whose sum is σ = 58485113856. Its totient is φ = 9637056000.

The previous prime is 24140013977. The next prime is 24140014009. The reversal of 24140014000 is 41004142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (24140014009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1030417 + ... + 1053583.

Almost surely, 2^24140014000 is an apocalyptic number.

24140014000 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 24140014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242556928).

24140014000 is an abundant number, since it is smaller than the sum of its proper divisors (34345099856).

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

24140014000 is a wasteful number, since it uses less digits than its factorization.

24140014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23711 (or 23695 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24140014000 its reverse (41004142), we get a palindrome (24181018142).

The spelling of 24140014000 in words is "twenty-four billion, one hundred forty million, fourteen thousand".