212100414440 has 128 divisors (see below), whose sum is σ = 495940838400. Its totient is φ = 81577850880.

The previous prime is 212100414431. The next prime is 212100414457. The reversal of 212100414440 is 44414001212.

212100414440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 65199854 + ... + 65203106.

It is an arithmetic number, because the mean of its divisors is an integer number (3874537800).

Almost surely, 2^212100414440 is an apocalyptic number.

212100414440 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 212100414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247970419200).

212100414440 is an abundant number, since it is smaller than the sum of its proper divisors (283840423960).

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

212100414440 is a wasteful number, since it uses less digits than its factorization.

212100414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 212100414440 its reverse (44414001212), we get a palindrome (256514415652).

The spelling of 212100414440 in words is "two hundred twelve billion, one hundred million, four hundred fourteen thousand, four hundred forty".