13740417544 has 64 divisors (see below), whose sum is σ = 29876774400. Its totient is φ = 5802451200.

The previous prime is 13740417541. The next prime is 13740417563. The reversal of 13740417544 is 44571404731.

It is a junction number, because it is equal to n+sod(n) for n = 13740417497 and 13740417506.

It is not an unprimeable number, because it can be changed into a prime (13740417541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2390514 + ... + 2396254.

It is an arithmetic number, because the mean of its divisors is an integer number (466824600).

Almost surely, 2^13740417544 is an apocalyptic number.

13740417544 is a gapful number since it is divisible by the number (14) 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 13740417544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938387200).

13740417544 is an abundant number, since it is smaller than the sum of its proper divisors (16136356856).

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

13740417544 is a wasteful number, since it uses less digits than its factorization.

13740417544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 13740417544 in words is "thirteen billion, seven hundred forty million, four hundred seventeen thousand, five hundred forty-four".