210431143104 has 448 divisors, whose sum is σ = 708442592256. Its totient is φ = 53640216576.

The previous prime is 210431143103. The next prime is 210431143133. The reversal of 210431143104 is 401341134012.

210431143104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×210431143104² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (210431143103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 105372634 + ... + 105374630.

It is an arithmetic number, because the mean of its divisors is an integer number (1581345072).

Almost surely, 2^210431143104 is an apocalyptic number.

210431143104 is a gapful number since it is divisible by the number (24) 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 210431143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354221296128).

210431143104 is an abundant number, since it is smaller than the sum of its proper divisors (498011449152).

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

210431143104 is a wasteful number, since it uses less digits than its factorization.

210431143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2222 counting only the distinct ones).

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

Adding to 210431143104 its reverse (401341134012), we get a palindrome (611772277116).

The spelling of 210431143104 in words is "two hundred ten billion, four hundred thirty-one million, one hundred forty-three thousand, one hundred four".