133240410433440 has 144 divisors (see below), whose sum is σ = 457472367057888. Its totient is φ = 35312795831808.

The previous prime is 133240410433387. The next prime is 133240410433447. The reversal of 133240410433440 is 44334014042331.

133240410433440 is a `hidden beast` number, since 1 + 3 + 3 + 240 + 41 + 0 + 4 + 334 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 133240410433395 and 133240410433404.

It is not an unprimeable number, because it can be changed into a prime (133240410433447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283593694 + ... + 284063133.

It is an arithmetic number, because the mean of its divisors is an integer number (3176891437902).

Almost surely, 2^{133240410433440} is an apocalyptic number.

133240410433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133240410433440 is an abundant number, since it is smaller than the sum of its proper divisors (324231956624448).

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

133240410433440 is a wasteful number, since it uses less digits than its factorization.

133240410433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567657011 (or 567657000 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133240410433440 its reverse (44334014042331), we get a palindrome (177574424475771).

The spelling of 133240410433440 in words is "one hundred thirty-three trillion, two hundred forty billion, four hundred ten million, four hundred thirty-three thousand, four hundred forty".