14401150100 has 72 divisors (see below), whose sum is σ = 31820838336. Its totient is φ = 5656000000.

The previous prime is 14401150067. The next prime is 14401150121. The reversal of 14401150100 is 105110441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778060 + ... + 1786140.

It is an arithmetic number, because the mean of its divisors is an integer number (441956088).

Almost surely, 2^14401150100 is an apocalyptic number.

14401150100 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 14401150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910419168).

14401150100 is an abundant number, since it is smaller than the sum of its proper divisors (17419688236).

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

14401150100 is a wasteful number, since it uses less digits than its factorization.

14401150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 14401150100 its reverse (105110441), we get a palindrome (14506260541).

The spelling of 14401150100 in words is "fourteen billion, four hundred one million, one hundred fifty thousand, one hundred".