13414102400000 has 132 divisors (see below), whose sum is σ = 33516744150456. Its totient is φ = 5365639680000.

The previous prime is 13414102399979. The next prime is 13414102400009. The reversal of 13414102400000 is 420141431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414102400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104047 + ... + 5295953.

Almost surely, 2^{13414102400000} is an apocalyptic number.

13414102400000 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 13414102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758372075228).

13414102400000 is an abundant number, since it is smaller than the sum of its proper divisors (20102641750456).

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

13414102400000 is an frugal number, since it uses more digits than its factorization.

13414102400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191952 (or 4191914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13414102400000 its reverse (420141431), we get a palindrome (13414522541431).

The spelling of 13414102400000 in words is "thirteen trillion, four hundred fourteen billion, one hundred two million, four hundred thousand".