211412114040 has 128 divisors (see below), whose sum is σ = 651806637120. Its totient is φ = 54816768000.

The previous prime is 211412114009. The next prime is 211412114041. The reversal of 211412114040 is 40411214112.

It is a junction number, because it is equal to n+sod(n) for n = 211412113998 and 211412114016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211412114041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7093570 + ... + 7123310.

Almost surely, 2^211412114040 is an apocalyptic number.

211412114040 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 211412114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325903318560).

211412114040 is an abundant number, since it is smaller than the sum of its proper divisors (440394523080).

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

211412114040 is a wasteful number, since it uses less digits than its factorization.

211412114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31393 (or 31389 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211412114040 its reverse (40411214112), we get a palindrome (251823328152).

The spelling of 211412114040 in words is "two hundred eleven billion, four hundred twelve million, one hundred fourteen thousand, forty".