210214514240 has 112 divisors (see below), whose sum is σ = 509178903408. Its totient is φ = 82648203264.

The previous prime is 210214514239. The next prime is 210214514249. The reversal of 210214514240 is 42415412012.

It can be written as a sum of positive squares in 8 ways, for example, as 43254016576 + 166960497664 = 207976^2 + 408608^2 .

It is not an unprimeable number, because it can be changed into a prime (210214514249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6829124 + ... + 6859836.

It is an arithmetic number, because the mean of its divisors is an integer number (4546240209).

Almost surely, 2^210214514240 is an apocalyptic number.

210214514240 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 210214514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254589451704).

210214514240 is an abundant number, since it is smaller than the sum of its proper divisors (298964389168).

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

210214514240 is a wasteful number, since it uses less digits than its factorization.

210214514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31096 (or 31086 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 210214514240 its reverse (42415412012), we get a palindrome (252629926252).

The spelling of 210214514240 in words is "two hundred ten billion, two hundred fourteen million, five hundred fourteen thousand, two hundred forty".