202114200040 has 64 divisors (see below), whose sum is σ = 457047637200. Its totient is φ = 80438925312.

The previous prime is 202114199951. The next prime is 202114200097. The reversal of 202114200040 is 40002411202.

202114200040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 138871003716 + 63243196324 = 372654^2 + 251482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202114199987 and 202114200023.

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, 15501364 + ... + 15514396.

Almost surely, 2^202114200040 is an apocalyptic number.

202114200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202114200040 is an abundant number, since it is smaller than the sum of its proper divisors (254933437160).

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

202114200040 is a wasteful number, since it uses less digits than its factorization.

202114200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202114200040 its reverse (40002411202), we get a palindrome (242116611242).

The spelling of 202114200040 in words is "two hundred two billion, one hundred fourteen million, two hundred thousand, forty".