133233304400442 has 96 divisors (see below), whose sum is σ = 317107879687872. Its totient is φ = 41780943777024.

The previous prime is 133233304400429. The next prime is 133233304400473. The reversal of 133233304400442 is 244004403332331.

133233304400442 is a `hidden beast` number, since 13 + 3 + 233 + 3 + 0 + 4 + 400 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×133233304400442² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133233304400397 and 133233304400406.

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, 16052653 + ... + 22894415.

It is an arithmetic number, because the mean of its divisors is an integer number (3303207080082).

Almost surely, 2^{133233304400442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133233304400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158553939843936).

133233304400442 is an abundant number, since it is smaller than the sum of its proper divisors (183874575287430).

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

133233304400442 is a wasteful number, since it uses less digits than its factorization.

133233304400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844154 (or 6844142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 133233304400442 its reverse (244004403332331), we get a palindrome (377237707732773).

The spelling of 133233304400442 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, three hundred four million, four hundred thousand, four hundred forty-two".