13418223840 has 288 divisors, whose sum is σ = 52922600640. Its totient is φ = 3032358912.

The previous prime is 13418223829. The next prime is 13418223869. The reversal of 13418223840 is 4832281431.

It is a happy number.

13418223840 is a `hidden beast` number, since 1 + 3 + 418 + 2 + 238 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 13418223795 and 13418223804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889642 + ... + 904598.

It is an arithmetic number, because the mean of its divisors is an integer number (183759030).

Almost surely, 2^13418223840 is an apocalyptic number.

13418223840 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 13418223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26461300320).

13418223840 is an abundant number, since it is smaller than the sum of its proper divisors (39504376800).

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

13418223840 is a wasteful number, since it uses less digits than its factorization.

13418223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15074 (or 15063 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13418223840 in words is "thirteen billion, four hundred eighteen million, two hundred twenty-three thousand, eight hundred forty".