13436441280000 has 2400 divisors, whose sum is σ = 53709105209760. Its totient is φ = 3220439040000.

The previous prime is 13436441279983. The next prime is 13436441280011. The reversal of 13436441280000 is 8214463431.

13436441280000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 644 + 1 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118906559944 + ... + 118906560056.

Almost surely, 2^{13436441280000} is an apocalyptic number.

13436441280000 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 13436441280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26854552604880).

13436441280000 is an abundant number, since it is smaller than the sum of its proper divisors (40272663929760).

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

13436441280000 is a wasteful number, since it uses less digits than its factorization.

13436441280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13436441280000 in words is "thirteen trillion, four hundred thirty-six billion, four hundred forty-one million, two hundred eighty thousand".