212042538301440 has 768 divisors, whose sum is σ = 895511371023360. Its totient is φ = 41468968304640.

The previous prime is 212042538301439. The next prime is 212042538301453. The reversal of 212042538301440 is 44103835240212.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37575954 + ... + 42849006.

It is an arithmetic number, because the mean of its divisors is an integer number (1166030431020).

Almost surely, 2^{212042538301440} is an apocalyptic number.

212042538301440 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 212042538301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447755685511680).

212042538301440 is an abundant number, since it is smaller than the sum of its proper divisors (683468832721920).

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

212042538301440 is a wasteful number, since it uses less digits than its factorization.

212042538301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273118 (or 5273098 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 212042538301440 in words is "two hundred twelve trillion, forty-two billion, five hundred thirty-eight million, three hundred one thousand, four hundred forty".