210414344140 has 384 divisors, whose sum is σ = 605411573760. Its totient is φ = 59313945600.

The previous prime is 210414344083. The next prime is 210414344141. The reversal of 210414344140 is 41443414012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 210414344099 and 210414344108.

It is not an unprimeable number, because it can be changed into a prime (210414344141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230970285 + ... + 230971195.

It is an arithmetic number, because the mean of its divisors is an integer number (1576592640).

Almost surely, 2^210414344140 is an apocalyptic number.

210414344140 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 210414344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302705786880).

210414344140 is an abundant number, since it is smaller than the sum of its proper divisors (394997229620).

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

210414344140 is a wasteful number, since it uses less digits than its factorization.

210414344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 210414344140 its reverse (41443414012), we get a palindrome (251857758152).

The spelling of 210414344140 in words is "two hundred ten billion, four hundred fourteen million, three hundred forty-four thousand, one hundred forty".