214202123220040 has 32 divisors (see below), whose sum is σ = 482064989113080. Its totient is φ = 85661256067072.

The previous prime is 214202123220011. The next prime is 214202123220047. The reversal of 214202123220040 is 40022321202412.

It can be written as a sum of positive squares in 4 ways, for example, as 167981351620644 + 46220771599396 = 12960762^2 + 6798586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214202123219987 and 214202123220014.

It is not an unprimeable number, because it can be changed into a prime (214202123220047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612111049 + ... + 612460888.

Almost surely, 2^{214202123220040} is an apocalyptic number.

214202123220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214202123220040 is an abundant number, since it is smaller than the sum of its proper divisors (267862865893040).

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

214202123220040 is a wasteful number, since it uses less digits than its factorization.

214202123220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224576321 (or 1224576317 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 214202123220040 its reverse (40022321202412), we get a palindrome (254224444422452).

The spelling of 214202123220040 in words is "two hundred fourteen trillion, two hundred two billion, one hundred twenty-three million, two hundred twenty thousand, forty".