211431431400 has 192 divisors, whose sum is σ = 749475840000. Its totient is φ = 48301090560.

The previous prime is 211431431389. The next prime is 211431431447. The reversal of 211431431400 is 4134134112.

211431431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8383209 + ... + 8408391.

It is an arithmetic number, because the mean of its divisors is an integer number (3903520000).

Almost surely, 2^211431431400 is an apocalyptic number.

211431431400 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 211431431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374737920000).

211431431400 is an abundant number, since it is smaller than the sum of its proper divisors (538044408600).

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

211431431400 is a wasteful number, since it uses less digits than its factorization.

211431431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208 (or 27199 counting only the distinct ones).

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

Adding to 211431431400 its reverse (4134134112), we get a palindrome (215565565512).

The spelling of 211431431400 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred".