212198550913440 has 576 divisors, whose sum is σ = 894784785253632. Its totient is φ = 44593182720000.

The previous prime is 212198550913373. The next prime is 212198550913441. The reversal of 212198550913440 is 44319055891212.

212198550913440 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 9 + 85 + 509 + 13 + 4 + 40 = 666.

212198550913440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212198550913441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29665260 + ... + 36116820.

It is an arithmetic number, because the mean of its divisors is an integer number (1553445807732).

Almost surely, 2^{212198550913440} is an apocalyptic number.

212198550913440 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 212198550913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447392392626816).

212198550913440 is an abundant number, since it is smaller than the sum of its proper divisors (682586234340192).

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

212198550913440 is a wasteful number, since it uses less digits than its factorization.

212198550913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451853 (or 6451842 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 212198550913440 in words is "two hundred twelve trillion, one hundred ninety-eight billion, five hundred fifty million, nine hundred thirteen thousand, four hundred forty".