14426412100000 has 108 divisors (see below), whose sum is σ = 35503182256374. Its totient is φ = 5770084400000.

The previous prime is 14426412099991. The next prime is 14426412100033. The reversal of 14426412100000 is 121462441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 20774033424 + 14405638066576 = 144132^2 + 3795476^2 .

It is a super-3 number, since 3×14426412100000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1201093995 + ... + 1201106005.

Almost surely, 2^{14426412100000} is an apocalyptic number.

14426412100000 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 14426412100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751591128187).

14426412100000 is an abundant number, since it is smaller than the sum of its proper divisors (21076770156374).

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

14426412100000 is an frugal number, since it uses more digits than its factorization.

14426412100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24057 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14426412100000 its reverse (121462441), we get a palindrome (14426533562441).

The spelling of 14426412100000 in words is "fourteen trillion, four hundred twenty-six billion, four hundred twelve million, one hundred thousand".