23414130401100 has 144 divisors (see below), whose sum is σ = 71839734025248. Its totient is φ = 5867487580160.

The previous prime is 23414130401071. The next prime is 23414130401107. The reversal of 23414130401100 is 110403141432.

It is not an unprimeable number, because it can be changed into a prime (23414130401107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185019 + ... + 6845618.

It is an arithmetic number, because the mean of its divisors is an integer number (498887041842).

Almost surely, 2^{23414130401100} is an apocalyptic number.

23414130401100 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 23414130401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919867012624).

23414130401100 is an abundant number, since it is smaller than the sum of its proper divisors (48425603624148).

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

23414130401100 is a wasteful number, since it uses less digits than its factorization.

23414130401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031324 (or 7031317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23414130401100 its reverse (110403141432), we get a palindrome (23524533542532).

The spelling of 23414130401100 in words is "twenty-three trillion, four hundred fourteen billion, one hundred thirty million, four hundred one thousand, one hundred".