14404410001100 has 144 divisors (see below), whose sum is σ = 37801126573056. Its totient is φ = 4657396128000.

The previous prime is 14404410001099. The next prime is 14404410001109. The reversal of 14404410001100 is 110001440441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14404410001109) 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, 5157491 + ... + 7443690.

It is an arithmetic number, because the mean of its divisors is an integer number (262507823424).

Almost surely, 2^{14404410001100} is an apocalyptic number.

14404410001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404410001100 is an abundant number, since it is smaller than the sum of its proper divisors (23396716571956).

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

14404410001100 is a wasteful number, since it uses less digits than its factorization.

14404410001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601296 (or 12601289 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14404410001100 its reverse (110001440441), we get a palindrome (14514411441541).

The spelling of 14404410001100 in words is "fourteen trillion, four hundred four billion, four hundred ten million, one thousand, one hundred".