214240433440 has 96 divisors (see below), whose sum is σ = 553469474880. Its totient is φ = 77720294400.

The previous prime is 214240433431. The next prime is 214240433521. The reversal of 214240433440 is 44334042412.

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 15 ways as a sum of consecutive naturals, for example, 596391 + ... + 885529.

It is an arithmetic number, because the mean of its divisors is an integer number (5765307030).

Almost surely, 2^214240433440 is an apocalyptic number.

214240433440 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 214240433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276734737440).

214240433440 is an abundant number, since it is smaller than the sum of its proper divisors (339229041440).

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

214240433440 is a wasteful number, since it uses less digits than its factorization.

214240433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289586 (or 289578 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 214240433440 its reverse (44334042412), we get a palindrome (258574475852).

The spelling of 214240433440 in words is "two hundred fourteen billion, two hundred forty million, four hundred thirty-three thousand, four hundred forty".