13438281024000 has 2240 divisors, whose sum is σ = 59947993797120. Its totient is φ = 2936416665600.

The previous prime is 13438281023963. The next prime is 13438281024001. The reversal of 13438281024000 is 42018283431.

It is a happy number.

13438281024000 is a `hidden beast` number, since 1 + 34 + 382 + 8 + 1 + 0 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is not an unprimeable number, because it can be changed into a prime (13438281024001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7511615106 + ... + 7511616894.

Almost surely, 2^{13438281024000} is an apocalyptic number.

13438281024000 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 13438281024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973996898560).

13438281024000 is an abundant number, since it is smaller than the sum of its proper divisors (46509712773120).

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

13438281024000 is an frugal number, since it uses more digits than its factorization.

13438281024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13438281024000 in words is "thirteen trillion, four hundred thirty-eight billion, two hundred eighty-one million, twenty-four thousand".