13362405408 has 240 divisors, whose sum is σ = 43021528704. Its totient is φ = 4035018240.

The previous prime is 13362405391. The next prime is 13362405409. The reversal of 13362405408 is 80450426331.

13362405408 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 240 + 5 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13362405409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10463266 + ... + 10464542.

Almost surely, 2^13362405408 is an apocalyptic number.

13362405408 is a gapful number since it is divisible by the number (18) 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 13362405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510764352).

13362405408 is an abundant number, since it is smaller than the sum of its proper divisors (29659123296).

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

13362405408 is a wasteful number, since it uses less digits than its factorization.

13362405408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13362405408 in words is "thirteen billion, three hundred sixty-two million, four hundred five thousand, four hundred eight".