13242417027840 has 6912 divisors, whose sum is σ = 71027750707200. Its totient is φ = 2260960542720.

The previous prime is 13242417027839. The next prime is 13242417027859. The reversal of 13242417027840 is 4872071424231.

13242417027840 is a `hidden beast` number, since 1 + 32 + 4 + 241 + 70 + 278 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 148791202516 + ... + 148791202604.

It is an arithmetic number, because the mean of its divisors is an integer number (10276005600).

Almost surely, 2^{13242417027840} is an apocalyptic number.

13242417027840 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 13242417027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35513875353600).

13242417027840 is an abundant number, since it is smaller than the sum of its proper divisors (57785333679360).

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

13242417027840 is a wasteful number, since it uses less digits than its factorization.

13242417027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 13242417027840 in words is "thirteen trillion, two hundred forty-two billion, four hundred seventeen million, twenty-seven thousand, eight hundred forty".