212210400040 has 16 divisors (see below), whose sum is σ = 477473400180. Its totient is φ = 84884160000.

The previous prime is 212210400007. The next prime is 212210400047. The reversal of 212210400040 is 40004012212.

212210400040 is digitally balanced in base 2, 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 2 ways, for example, as 208459817476 + 3750582564 = 456574^2 + 61242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212210399987 and 212210400023.

It is not an unprimeable number, because it can be changed into a prime (212210400047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2652629961 + ... + 2652630040.

Almost surely, 2^212210400040 is an apocalyptic number.

212210400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210400040 is an abundant number, since it is smaller than the sum of its proper divisors (265263000140).

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

212210400040 is a wasteful number, since it uses less digits than its factorization.

212210400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305260012 (or 5305260008 counting only the distinct ones).

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

Adding to 212210400040 its reverse (40004012212), we get a palindrome (252214412252).

The spelling of 212210400040 in words is "two hundred twelve billion, two hundred ten million, four hundred thousand, forty".