13005240453440 has 224 divisors, whose sum is σ = 34165217318400. Its totient is φ = 4693242839040.

The previous prime is 13005240453437. The next prime is 13005240453451. The reversal of 13005240453440 is 4435404250031.

It is a self number, because there is not a number n which added to its sum of digits gives 13005240453440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21632105 + ... + 22225175.

It is an arithmetic number, because the mean of its divisors is an integer number (152523291600).

Almost surely, 2^{13005240453440} is an apocalyptic number.

13005240453440 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 13005240453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082608659200).

13005240453440 is an abundant number, since it is smaller than the sum of its proper divisors (21159976864960).

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

13005240453440 is a wasteful number, since it uses less digits than its factorization.

13005240453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593273 (or 593263 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 13005240453440 in words is "thirteen trillion, five billion, two hundred forty million, four hundred fifty-three thousand, four hundred forty".