214442040 has 64 divisors (see below), whose sum is σ = 648437760. Its totient is φ = 56730240.

The previous prime is 214441993. The next prime is 214442057. The reversal of 214442040 is 40244412.

It is a junction number, because it is equal to n+sod(n) for n = 214441998 and 214442016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8205 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (10131840).

Almost surely, 2^214442040 is an apocalyptic number.

214442040 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 214442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324218880).

214442040 is an abundant number, since it is smaller than the sum of its proper divisors (433995720).

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

214442040 is a wasteful number, since it uses less digits than its factorization.

214442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 214442040 is about 14643.8396604169. The cubic root of 214442040 is about 598.5539622020.

Adding to 214442040 its reverse (40244412), we get a palindrome (254686452).

The spelling of 214442040 in words is "two hundred fourteen million, four hundred forty-two thousand, forty".