214516382240 has 48 divisors (see below), whose sum is σ = 536606427672. Its totient is φ = 80759107584.

The previous prime is 214516382219. The next prime is 214516382293. The reversal of 214516382240 is 42283615412.

It can be written as a sum of positive squares in 4 ways, for example, as 202222894864 + 12293487376 = 449692^2 + 110876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214516382194 and 214516382203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39430439 + ... + 39435878.

Almost surely, 2^214516382240 is an apocalyptic number.

214516382240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214516382240 is an abundant number, since it is smaller than the sum of its proper divisors (322090045432).

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

214516382240 is a wasteful number, since it uses less digits than its factorization.

214516382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78866349 (or 78866341 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

Adding to 214516382240 its reverse (42283615412), we get a palindrome (256799997652).

The spelling of 214516382240 in words is "two hundred fourteen billion, five hundred sixteen million, three hundred eighty-two thousand, two hundred forty".