212441101440 has 64 divisors (see below), whose sum is σ = 677156016960. Its totient is φ = 56650959872.

The previous prime is 212441101399. The next prime is 212441101447. The reversal of 212441101440 is 44101144212.

212441101440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 212441101440.

It is not an unprimeable number, because it can be changed into a prime (212441101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55321284 + ... + 55325123.

It is an arithmetic number, because the mean of its divisors is an integer number (10580562765).

Almost surely, 2^212441101440 is an apocalyptic number.

212441101440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212441101440 is an abundant number, since it is smaller than the sum of its proper divisors (464714915520).

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

212441101440 is a wasteful number, since it uses less digits than its factorization.

212441101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110646429 (or 110646417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212441101440 its reverse (44101144212), we get a palindrome (256542245652).

The spelling of 212441101440 in words is "two hundred twelve billion, four hundred forty-one million, one hundred one thousand, four hundred forty".