214001440 has 96 divisors (see below), whose sum is σ = 553981680. Its totient is φ = 77758464.

The previous prime is 214001429. The next prime is 214001443. The reversal of 214001440 is 44100412.

214001440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 187251856 + 26749584 = 13684^2 + 5172^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (214001443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77524 + ... + 80236.

Almost surely, 2^214001440 is an apocalyptic number.

214001440 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 214001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276990840).

214001440 is an abundant number, since it is smaller than the sum of its proper divisors (339980240).

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

214001440 is a wasteful number, since it uses less digits than its factorization.

214001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214001440 is about 14628.7880564317. The cubic root of 214001440 is about 598.1437445969.

Adding to 214001440 its reverse (44100412), we get a palindrome (258101852).

The spelling of 214001440 in words is "two hundred fourteen million, one thousand, four hundred forty".