212404313040 has 80 divisors (see below), whose sum is σ = 658831576128. Its totient is φ = 56608616448.

The previous prime is 212404313029. The next prime is 212404313071. The reversal of 212404313040 is 40313404212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212404313040.

It is a congruent number.

It is an unprimeable number.

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, 165984 + ... + 672576.

Almost surely, 2^212404313040 is an apocalyptic number.

212404313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212404313040 is an abundant number, since it is smaller than the sum of its proper divisors (446427263088).

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

212404313040 is a wasteful number, since it uses less digits than its factorization.

212404313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508356 (or 508350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212404313040 its reverse (40313404212), we get a palindrome (252717717252).

The spelling of 212404313040 in words is "two hundred twelve billion, four hundred four million, three hundred thirteen thousand, forty".