133410342240 has 576 divisors, whose sum is σ = 559375165440. Its totient is φ = 28272291840.

The previous prime is 133410342227. The next prime is 133410342253. The reversal of 133410342240 is 42243014331.

133410342240 is a `hidden beast` number, since 1 + 3 + 3 + 410 + 3 + 4 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (133410342227) and next prime (133410342253).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8994030 + ... + 9008850.

It is an arithmetic number, because the mean of its divisors is an integer number (971137440).

Almost surely, 2^133410342240 is an apocalyptic number.

133410342240 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 133410342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279687582720).

133410342240 is an abundant number, since it is smaller than the sum of its proper divisors (425964823200).

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

133410342240 is a wasteful number, since it uses less digits than its factorization.

133410342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133410342240 its reverse (42243014331), we get a palindrome (175653356571).

The spelling of 133410342240 in words is "one hundred thirty-three billion, four hundred ten million, three hundred forty-two thousand, two hundred forty".