214320324040 has 64 divisors (see below), whose sum is σ = 498291678720. Its totient is φ = 82876800000.

The previous prime is 214320324019. The next prime is 214320324073. The reversal of 214320324040 is 40423023412.

It is a happy number.

It is a super-2 number, since 2×214320324040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214320323996 and 214320324014.

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, 1115040 + ... + 1293040.

It is an arithmetic number, because the mean of its divisors is an integer number (7785807480).

Almost surely, 2^214320324040 is an apocalyptic number.

214320324040 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 214320324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249145839360).

214320324040 is an abundant number, since it is smaller than the sum of its proper divisors (283971354680).

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

214320324040 is a wasteful number, since it uses less digits than its factorization.

214320324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179014 (or 179010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214320324040 its reverse (40423023412), we get a palindrome (254743347452).

The spelling of 214320324040 in words is "two hundred fourteen billion, three hundred twenty million, three hundred twenty-four thousand, forty".