13742334720000 has 1920 divisors, whose sum is σ = 53447211417600. Its totient is φ = 3483648000000.

The previous prime is 13742334719933. The next prime is 13742334720097. The reversal of 13742334720000 is 2743324731.

13742334720000 is a `hidden beast` number, since 137 + 423 + 34 + 72 + 0 + 0 + 0 + 0 = 666.

13742334720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108207359937 + ... + 108207360063.

It is an arithmetic number, because the mean of its divisors is an integer number (27837089280).

Almost surely, 2^{13742334720000} is an apocalyptic number.

13742334720000 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 13742334720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26723605708800).

13742334720000 is an abundant number, since it is smaller than the sum of its proper divisors (39704876697600).

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

13742334720000 is a wasteful number, since it uses less digits than its factorization.

13742334720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 13742334720000 in words is "thirteen trillion, seven hundred forty-two billion, three hundred thirty-four million, seven hundred twenty thousand".