13726128138240 has 1152 divisors, whose sum is σ = 52365546455040. Its totient is φ = 3006527569920.

The previous prime is 13726128138221. The next prime is 13726128138263. The reversal of 13726128138240 is 4283182162731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13726128138240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26244986619 + ... + 26244987141.

It is an arithmetic number, because the mean of its divisors is an integer number (45456203520).

Almost surely, 2^{13726128138240} is an apocalyptic number.

13726128138240 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 13726128138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182773227520).

13726128138240 is an abundant number, since it is smaller than the sum of its proper divisors (38639418316800).

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

13726128138240 is a wasteful number, since it uses less digits than its factorization.

13726128138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13726128138240 in words is "thirteen trillion, seven hundred twenty-six billion, one hundred twenty-eight million, one hundred thirty-eight thousand, two hundred forty".