14024132100040 has 64 divisors (see below), whose sum is σ = 32324616520560. Its totient is φ = 5472713134080.

The previous prime is 14024132100031. The next prime is 14024132100053. The reversal of 14024132100040 is 4000123142041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 488016810724 + 13536115289316 = 698582^2 + 3679146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14024132099984 and 14024132100020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137796052 + ... + 137897788.

Almost surely, 2^{14024132100040} is an apocalyptic number.

14024132100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024132100040 is an abundant number, since it is smaller than the sum of its proper divisors (18300484420520).

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

14024132100040 is a wasteful number, since it uses less digits than its factorization.

14024132100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185842 (or 185838 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14024132100040 its reverse (4000123142041), we get a palindrome (18024255242081).

The spelling of 14024132100040 in words is "fourteen trillion, twenty-four billion, one hundred thirty-two million, one hundred thousand, forty".