13358442240 has 1440 divisors, whose sum is σ = 60580529856. Its totient is φ = 2760376320.

The previous prime is 13358442199. The next prime is 13358442241. The reversal of 13358442240 is 4224485331.

13358442240 is a `hidden beast` number, since 1 + 33 + 584 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13358442195 and 13358442204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13358442241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252046054 + ... + 252046106.

Almost surely, 2^13358442240 is an apocalyptic number.

13358442240 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 13358442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30290264928).

13358442240 is an abundant number, since it is smaller than the sum of its proper divisors (47222087616).

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

13358442240 is a wasteful number, since it uses less digits than its factorization.

13358442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 13358442240 in words is "thirteen billion, three hundred fifty-eight million, four hundred forty-two thousand, two hundred forty".