214231232040 has 192 divisors, whose sum is σ = 763531142400. Its totient is φ = 47925222912.

The previous prime is 214231232021. The next prime is 214231232081. The reversal of 214231232040 is 40232132412.

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 214231232040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111235 + ... + 663954.

It is an arithmetic number, because the mean of its divisors is an integer number (3976724700).

Almost surely, 2^214231232040 is an apocalyptic number.

214231232040 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 214231232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381765571200).

214231232040 is an abundant number, since it is smaller than the sum of its proper divisors (549299910360).

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

214231232040 is a wasteful number, since it uses less digits than its factorization.

214231232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775264 (or 775253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214231232040 its reverse (40232132412), we get a palindrome (254463364452).

The spelling of 214231232040 in words is "two hundred fourteen billion, two hundred thirty-one million, two hundred thirty-two thousand, forty".