212201400040 has 128 divisors (see below), whose sum is σ = 561781186560. Its totient is φ = 70626173184.

The previous prime is 212201400013. The next prime is 212201400091. The reversal of 212201400040 is 40004102212.

It is a super-3 number, since 3×212201400040³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212201399987 and 212201400023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908457 + ... + 2016583.

It is an arithmetic number, because the mean of its divisors is an integer number (4388915520).

Almost surely, 2^212201400040 is an apocalyptic number.

212201400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280890593280).

212201400040 is an abundant number, since it is smaller than the sum of its proper divisors (349579786520).

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

212201400040 is a wasteful number, since it uses less digits than its factorization.

212201400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108351 (or 108347 counting only the distinct ones).

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

Adding to 212201400040 its reverse (40004102212), we get a palindrome (252205502252).

The spelling of 212201400040 in words is "two hundred twelve billion, two hundred one million, four hundred thousand, forty".