13780438100340 has 48 divisors (see below), whose sum is σ = 38661032712960. Its totient is φ = 3667563871360.

The previous prime is 13780438100311. The next prime is 13780438100381. The reversal of 13780438100340 is 4300183408731.

It is a junction number, because it is equal to n+sod(n) for n = 13780438100292 and 13780438100301.

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 15 ways as a sum of consecutive naturals, for example, 225582396 + ... + 225643475.

It is an arithmetic number, because the mean of its divisors is an integer number (805438181520).

Almost surely, 2^{13780438100340} is an apocalyptic number.

13780438100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13780438100340 is an abundant number, since it is smaller than the sum of its proper divisors (24880594612620).

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

13780438100340 is a wasteful number, since it uses less digits than its factorization.

13780438100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451226392 (or 451226390 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13780438100340 in words is "thirteen trillion, seven hundred eighty billion, four hundred thirty-eight million, one hundred thousand, three hundred forty".