14042345100 has 288 divisors, whose sum is σ = 50216785920. Its totient is φ = 2956247040.

The previous prime is 14042345099. The next prime is 14042345101. The reversal of 14042345100 is 154324041.

It is an interprime number because it is at equal distance from previous prime (14042345099) and next prime (14042345101).

It is not an unprimeable number, because it can be changed into a prime (14042345101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1673716 + ... + 1682084.

It is an arithmetic number, because the mean of its divisors is an integer number (174363840).

Almost surely, 2^14042345100 is an apocalyptic number.

14042345100 is a gapful number since it is divisible by the number (10) 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 14042345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108392960).

14042345100 is an abundant number, since it is smaller than the sum of its proper divisors (36174440820).

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

14042345100 is a wasteful number, since it uses less digits than its factorization.

14042345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14042345100 its reverse (154324041), we get a palindrome (14196669141).

The spelling of 14042345100 in words is "fourteen billion, forty-two million, three hundred forty-five thousand, one hundred".