212014343040 has 256 divisors, whose sum is σ = 683823928320. Its totient is φ = 55867981824.

The previous prime is 212014343039. The next prime is 212014343063. The reversal of 212014343040 is 40343410212.

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 212014343040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127949892 + ... + 127951548.

It is an arithmetic number, because the mean of its divisors is an integer number (2671187220).

Almost surely, 2^212014343040 is an apocalyptic number.

212014343040 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 212014343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341911964160).

212014343040 is an abundant number, since it is smaller than the sum of its proper divisors (471809585280).

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

212014343040 is a wasteful number, since it uses less digits than its factorization.

212014343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2417 counting only the distinct ones).

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

Adding to 212014343040 its reverse (40343410212), we get a palindrome (252357753252).

The spelling of 212014343040 in words is "two hundred twelve billion, fourteen million, three hundred forty-three thousand, forty".