214020444440 has 256 divisors, whose sum is σ = 550242201600. Its totient is φ = 74234060800.

The previous prime is 214020444431. The next prime is 214020444467. The reversal of 214020444440 is 44444020412.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 247995449 + ... + 247996311.

It is an arithmetic number, because the mean of its divisors is an integer number (2149383600).

Almost surely, 2^214020444440 is an apocalyptic number.

214020444440 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 214020444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275121100800).

214020444440 is an abundant number, since it is smaller than the sum of its proper divisors (336221757160).

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

214020444440 is a wasteful number, since it uses less digits than its factorization.

214020444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 214020444440 its reverse (44444020412), we get a palindrome (258464464852).

The spelling of 214020444440 in words is "two hundred fourteen billion, twenty million, four hundred forty-four thousand, four hundred forty".