214441040 has 60 divisors (see below), whose sum is σ = 548045652. Its totient is φ = 77975040.

The previous prime is 214441027. The next prime is 214441061. The reversal of 214441040 is 40144412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39037504 + 175403536 = 6248^2 + 13244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1397 + ... + 20756.

Almost surely, 2^214441040 is an apocalyptic number.

214441040 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 214441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274022826).

214441040 is an abundant number, since it is smaller than the sum of its proper divisors (333604612).

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

214441040 is a wasteful number, since it uses less digits than its factorization.

214441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22188 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 214441040 is about 14643.8055163267. The cubic root of 214441040 is about 598.5530317953.

Adding to 214441040 its reverse (40144412), we get a palindrome (254585452).

The spelling of 214441040 in words is "two hundred fourteen million, four hundred forty-one thousand, forty".