211424122440 has 96 divisors (see below), whose sum is σ = 687247441920. Its totient is φ = 56369998464.

The previous prime is 211424122387. The next prime is 211424122457. The reversal of 211424122440 is 44221424112.

211424122440 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 412 + 244 + 0 = 666.

It is a super-2 number, since 2×211424122440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2163679 + ... + 2259281.

It is an arithmetic number, because the mean of its divisors is an integer number (7158827520).

Almost surely, 2^211424122440 is an apocalyptic number.

211424122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211424122440 is an abundant number, since it is smaller than the sum of its proper divisors (475823319480).

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

211424122440 is a wasteful number, since it uses less digits than its factorization.

211424122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101763 (or 101756 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 211424122440 its reverse (44221424112), we get a palindrome (255645546552).

The spelling of 211424122440 in words is "two hundred eleven billion, four hundred twenty-four million, one hundred twenty-two thousand, four hundred forty".