211223401440 has 48 divisors (see below), whose sum is σ = 665353716048. Its totient is φ = 56326240256.

The previous prime is 211223401421. The next prime is 211223401471. The reversal of 211223401440 is 44104322112.

211223401440 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 (48).

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 211223401440.

It is a congruent number.

It is an unprimeable number.

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, 220023897 + ... + 220024856.

It is an arithmetic number, because the mean of its divisors is an integer number (13861535751).

Almost surely, 2^211223401440 is an apocalyptic number.

211223401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223401440 is an abundant number, since it is smaller than the sum of its proper divisors (454130314608).

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

211223401440 is a wasteful number, since it uses less digits than its factorization.

211223401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440048771 (or 440048763 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211223401440 its reverse (44104322112), we get a palindrome (255327723552).

The spelling of 211223401440 in words is "two hundred eleven billion, two hundred twenty-three million, four hundred one thousand, four hundred forty".