212433132413440 has 40 divisors (see below), whose sum is σ = 509341627644300. Its totient is φ = 84973252964352.

The previous prime is 212433132413417. The next prime is 212433132413461. The reversal of 212433132413440 is 44314231334212.

It can be written as a sum of positive squares in 2 ways, for example, as 205310382766336 + 7122749647104 = 14328656^2 + 2668848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×212433132413440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212433132413440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41490843615 + ... + 41490848734.

Almost surely, 2^{212433132413440} is an apocalyptic number.

212433132413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212433132413440 is an abundant number, since it is smaller than the sum of its proper divisors (296908495230860).

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

212433132413440 is an frugal number, since it uses more digits than its factorization.

212433132413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82981692372 (or 82981692356 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 212433132413440 its reverse (44314231334212), we get a palindrome (256747363747652).

The spelling of 212433132413440 in words is "two hundred twelve trillion, four hundred thirty-three billion, one hundred thirty-two million, four hundred thirteen thousand, four hundred forty".