211431414420 has 144 divisors (see below), whose sum is σ = 675658663680. Its totient is φ = 53369798400.

The previous prime is 211431414413. The next prime is 211431414431. The reversal of 211431414420 is 24414134112.

211431414420 is a `hidden beast` number, since 211 + 4 + 3 + 1 + 4 + 1 + 442 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4184910 + ... + 4235130.

Almost surely, 2^211431414420 is an apocalyptic number.

211431414420 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 211431414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337829331840).

211431414420 is an abundant number, since it is smaller than the sum of its proper divisors (464227249260).

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

211431414420 is a wasteful number, since it uses less digits than its factorization.

211431414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51486 (or 51481 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211431414420 its reverse (24414134112), we get a palindrome (235845548532).

The spelling of 211431414420 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred fourteen thousand, four hundred twenty".