13413422240 has 192 divisors, whose sum is σ = 34017822720. Its totient is φ = 4988928000.

The previous prime is 13413422227. The next prime is 13413422249. The reversal of 13413422240 is 4222431431.

It is not an unprimeable number, because it can be changed into a prime (13413422249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14438096 + ... + 14439024.

It is an arithmetic number, because the mean of its divisors is an integer number (177176160).

Almost surely, 2^13413422240 is an apocalyptic number.

13413422240 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 13413422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008911360).

13413422240 is an abundant number, since it is smaller than the sum of its proper divisors (20604400480).

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

13413422240 is a wasteful number, since it uses less digits than its factorization.

13413422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13413422240 its reverse (4222431431), we get a palindrome (17635853671).

The spelling of 13413422240 in words is "thirteen billion, four hundred thirteen million, four hundred twenty-two thousand, two hundred forty".