13626840714240 has 1056 divisors, whose sum is σ = 49065653423808. Its totient is φ = 3206283264000.

The previous prime is 13626840714233. The next prime is 13626840714251. The reversal of 13626840714240 is 4241704862631.

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 13626840714240.

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, 90243978165 + ... + 90243978315.

Almost surely, 2^{13626840714240} is an apocalyptic number.

13626840714240 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 13626840714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532826711904).

13626840714240 is an abundant number, since it is smaller than the sum of its proper divisors (35438812709568).

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

13626840714240 is a wasteful number, since it uses less digits than its factorization.

13626840714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 13626840714240 in words is "thirteen trillion, six hundred twenty-six billion, eight hundred forty million, seven hundred fourteen thousand, two hundred forty".