212835047040 has 1024 divisors, whose sum is σ = 949526323200. Its totient is φ = 43767889920.

The previous prime is 212835047027. The next prime is 212835047041. The reversal of 212835047040 is 40740538212.

It is a happy number.

212835047040 is a `hidden beast` number, since 2 + 1 + 2 + 83 + 504 + 70 + 4 + 0 = 666.

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 = 212835046986 and 212835047004.

It is not an unprimeable number, because it can be changed into a prime (212835047041) 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 127 ways as a sum of consecutive naturals, for example, 137046904 + ... + 137048456.

It is an arithmetic number, because the mean of its divisors is an integer number (927271800).

Almost surely, 2^212835047040 is an apocalyptic number.

212835047040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212835047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474763161600).

212835047040 is an abundant number, since it is smaller than the sum of its proper divisors (736691276160).

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

212835047040 is a wasteful number, since it uses less digits than its factorization.

212835047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 212835047040 in words is "two hundred twelve billion, eight hundred thirty-five million, forty-seven thousand, forty".