211321431420 has 96 divisors (see below), whose sum is σ = 646499218176. Its totient is φ = 51149414400.

The previous prime is 211321431367. The next prime is 211321431481. The reversal of 211321431420 is 24134123112.

It is a super-3 number, since 3×211321431420³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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, 173307 + ... + 672813.

It is an arithmetic number, because the mean of its divisors is an integer number (6734366856).

Almost surely, 2^211321431420 is an apocalyptic number.

211321431420 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 211321431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323249609088).

211321431420 is an abundant number, since it is smaller than the sum of its proper divisors (435177786756).

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

211321431420 is a wasteful number, since it uses less digits than its factorization.

211321431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500171 (or 500169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211321431420 its reverse (24134123112), we get a palindrome (235455554532).

The spelling of 211321431420 in words is "two hundred eleven billion, three hundred twenty-one million, four hundred thirty-one thousand, four hundred twenty".