13414041001200 has 360 divisors, whose sum is σ = 50303507897712. Its totient is φ = 3046535331840.

The previous prime is 13414041001187. The next prime is 13414041001211. The reversal of 13414041001200 is 210014041431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8505072 + ... + 9958128.

Almost surely, 2^{13414041001200} is an apocalyptic number.

13414041001200 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 13414041001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151753948856).

13414041001200 is an abundant number, since it is smaller than the sum of its proper divisors (36889466896512).

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

13414041001200 is a wasteful number, since it uses less digits than its factorization.

13414041001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453249 (or 1453231 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13414041001200 its reverse (210014041431), we get a palindrome (13624055042631).

The spelling of 13414041001200 in words is "thirteen trillion, four hundred fourteen billion, forty-one million, one thousand, two hundred".