212238217981440 has 960 divisors, whose sum is σ = 848439383261184. Its totient is φ = 48028525461504.

The previous prime is 212238217981417. The next prime is 212238217981507. The reversal of 212238217981440 is 44189712832212.

212238217981440 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 38 + 21 + 79 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×212238217981440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9974996082 + ... + 9975017358.

Almost surely, 2^{212238217981440} is an apocalyptic number.

212238217981440 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 212238217981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424219691630592).

212238217981440 is an abundant number, since it is smaller than the sum of its proper divisors (636201165279744).

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

212238217981440 is a wasteful number, since it uses less digits than its factorization.

212238217981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21927 (or 21908 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 212238217981440 in words is "two hundred twelve trillion, two hundred thirty-eight billion, two hundred seventeen million, nine hundred eighty-one thousand, four hundred forty".