214024300440 has 128 divisors (see below), whose sum is σ = 664035840000. Its totient is φ = 55151635968.

The previous prime is 214024300411. The next prime is 214024300453. The reversal of 214024300440 is 44003420412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214024300440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205386 + ... + 685734.

It is an arithmetic number, because the mean of its divisors is an integer number (5187780000).

Almost surely, 2^214024300440 is an apocalyptic number.

214024300440 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 214024300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332017920000).

214024300440 is an abundant number, since it is smaller than the sum of its proper divisors (450011539560).

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

214024300440 is a wasteful number, since it uses less digits than its factorization.

214024300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480489 (or 480485 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214024300440 its reverse (44003420412), we get a palindrome (258027720852).

The spelling of 214024300440 in words is "two hundred fourteen billion, twenty-four million, three hundred thousand, four hundred forty".