212414432040 has 96 divisors (see below), whose sum is σ = 690462307080. Its totient is φ = 56634379776.

The previous prime is 212414432039. The next prime is 212414432057. The reversal of 212414432040 is 40234414212.

212414432040 is a `hidden beast` number, since 2 + 1 + 2 + 414 + 43 + 204 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89285025636 + 123129406404 = 298806^2 + 350898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212414431995 and 212414432013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256802 + ... + 2349038.

Almost surely, 2^212414432040 is an apocalyptic number.

212414432040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414432040 is an abundant number, since it is smaller than the sum of its proper divisors (478047875040).

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

212414432040 is a wasteful number, since it uses less digits than its factorization.

212414432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98651 (or 98644 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212414432040 its reverse (40234414212), we get a palindrome (252648846252).

The spelling of 212414432040 in words is "two hundred twelve billion, four hundred fourteen million, four hundred thirty-two thousand, forty".