13760743154340 has 384 divisors, whose sum is σ = 47658143232000. Its totient is φ = 2888901863424.

The previous prime is 13760743154311. The next prime is 13760743154341. The reversal of 13760743154340 is 4345134706731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13760743154340.

It is not an unprimeable number, because it can be changed into a prime (13760743154341) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3324651991 + ... + 3324656129.

It is an arithmetic number, because the mean of its divisors is an integer number (124109748000).

Almost surely, 2^{13760743154340} is an apocalyptic number.

13760743154340 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 13760743154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23829071616000).

13760743154340 is an abundant number, since it is smaller than the sum of its proper divisors (33897400077660).

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

13760743154340 is a wasteful number, since it uses less digits than its factorization.

13760743154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 13760743154340 in words is "thirteen trillion, seven hundred sixty billion, seven hundred forty-three million, one hundred fifty-four thousand, three hundred forty".