24134441414000 has 80 divisors (see below), whose sum is σ = 58358173575936. Its totient is φ = 9653595552000.

The previous prime is 24134441413993. The next prime is 24134441414003. The reversal of 24134441414000 is 41414443142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134441414003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172083905 + ... + 172224095.

Almost surely, 2^{24134441414000} is an apocalyptic number.

24134441414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24134441414000 is an abundant number, since it is smaller than the sum of its proper divisors (34223732161936).

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

24134441414000 is a wasteful number, since it uses less digits than its factorization.

24134441414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226291 (or 226275 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 24134441414000 its reverse (41414443142), we get a palindrome (24175855857142).

The spelling of 24134441414000 in words is "twenty-four trillion, one hundred thirty-four billion, four hundred forty-one million, four hundred fourteen thousand".