13784239672440 has 512 divisors, whose sum is σ = 42694422865920. Its totient is φ = 3559497596928.

The previous prime is 13784239672417. The next prime is 13784239672453. The reversal of 13784239672440 is 4427693248731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48707560539 + ... + 48707560821.

It is an arithmetic number, because the mean of its divisors is an integer number (83387544660).

Almost surely, 2^{13784239672440} is an apocalyptic number.

13784239672440 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 13784239672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21347211432960).

13784239672440 is an abundant number, since it is smaller than the sum of its proper divisors (28910183193480).

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

13784239672440 is a wasteful number, since it uses less digits than its factorization.

13784239672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 13784239672440 in words is "thirteen trillion, seven hundred eighty-four billion, two hundred thirty-nine million, six hundred seventy-two thousand, four hundred forty".