13740330240000 has 3840 divisors, whose sum is σ = 66538830758400. Its totient is φ = 2717908992000.

The previous prime is 13740330239947. The next prime is 13740330240019. The reversal of 13740330240000 is 4203304731.

13740330240000 is a `hidden beast` number, since 13 + 7 + 403 + 3 + 0 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53464319872 + ... + 53464320128.

It is an arithmetic number, because the mean of its divisors is an integer number (17327820510).

Almost surely, 2^{13740330240000} is an apocalyptic number.

13740330240000 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 13740330240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33269415379200).

13740330240000 is an abundant number, since it is smaller than the sum of its proper divisors (52798500518400).

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

13740330240000 is a wasteful number, since it uses less digits than its factorization.

13740330240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 13740330240000 its reverse (4203304731), we get a palindrome (13744533544731).

The spelling of 13740330240000 in words is "thirteen trillion, seven hundred forty billion, three hundred thirty million, two hundred forty thousand".