212514382440 has 96 divisors (see below), whose sum is σ = 690728786280. Its totient is φ = 56665821696.

The previous prime is 212514382433. The next prime is 212514382441. The reversal of 212514382440 is 44283415212.

212514382440 is a `hidden beast` number, since 2 + 125 + 14 + 3 + 82 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201976538724 + 10537843716 = 449418^2 + 102654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212514382395 and 212514382404.

It is not an unprimeable number, because it can be changed into a prime (212514382441) 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 23 ways as a sum of consecutive naturals, for example, 8049742 + ... + 8076098.

Almost surely, 2^212514382440 is an apocalyptic number.

212514382440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212514382440 is an abundant number, since it is smaller than the sum of its proper divisors (478214403840).

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

212514382440 is a wasteful number, since it uses less digits than its factorization.

212514382440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48771 (or 48764 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 212514382440 its reverse (44283415212), we get a palindrome (256797797652).

The spelling of 212514382440 in words is "two hundred twelve billion, five hundred fourteen million, three hundred eighty-two thousand, four hundred forty".