133331422321440 has 480 divisors, whose sum is σ = 545344322713344. Its totient is φ = 30046516254720.

The previous prime is 133331422321417. The next prime is 133331422321451. The reversal of 133331422321440 is 44123224133331.

133331422321440 is a `hidden beast` number, since 1 + 3 + 3 + 33 + 142 + 23 + 21 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 133331422321395 and 133331422321404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3908899 + ... + 16791138.

Almost surely, 2^{133331422321440} is an apocalyptic number.

133331422321440 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 133331422321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272672161356672).

133331422321440 is an abundant number, since it is smaller than the sum of its proper divisors (412012900391904).

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

133331422321440 is a wasteful number, since it uses less digits than its factorization.

133331422321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20700142 (or 20700125 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 133331422321440 its reverse (44123224133331), we get a palindrome (177454646454771).

The spelling of 133331422321440 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, four hundred twenty-two million, three hundred twenty-one thousand, four hundred forty".