40132133420024 has 128 divisors (see below), whose sum is σ = 82430141184000. Its totient is φ = 18258748806144.

The previous prime is 40132133420009. The next prime is 40132133420059. The reversal of 40132133420024 is 42002433123104.

It is a super-2 number, since 2×40132133420024² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134248529 + ... + 134547135.

It is an arithmetic number, because the mean of its divisors is an integer number (643985478000).

Almost surely, 2^{40132133420024} is an apocalyptic number.

It is an amenable number.

40132133420024 is an abundant number, since it is smaller than the sum of its proper divisors (42298007763976).

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

40132133420024 is a wasteful number, since it uses less digits than its factorization.

40132133420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299037 (or 299033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 40132133420024 its reverse (42002433123104), we get a palindrome (82134566543128).

The spelling of 40132133420024 in words is "forty trillion, one hundred thirty-two billion, one hundred thirty-three million, four hundred twenty thousand, twenty-four".