4002132331140 has 96 divisors (see below), whose sum is σ = 11757084165120. Its totient is φ = 1015877030400.

The previous prime is 4002132331139. The next prime is 4002132331177. The reversal of 4002132331140 is 411332312004.

It is a happy number.

It is a super-2 number, since 2×4002132331140² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4002132331140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17523295 + ... + 17750214.

It is an arithmetic number, because the mean of its divisors is an integer number (122469626720).

Almost surely, 2^{4002132331140} is an apocalyptic number.

It is an amenable number.

4002132331140 is an abundant number, since it is smaller than the sum of its proper divisors (7754951833980).

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

4002132331140 is a wasteful number, since it uses less digits than its factorization.

4002132331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35273613 (or 35273611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4002132331140 its reverse (411332312004), we get a palindrome (4413464643144).

The spelling of 4002132331140 in words is "four trillion, two billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred forty".