214131244140 has 192 divisors, whose sum is σ = 727075077120. Its totient is φ = 51887278080.

The previous prime is 214131244133. The next prime is 214131244153. The reversal of 214131244140 is 41442131412.

214131244140 is a `hidden beast` number, since 2 + 1 + 413 + 1 + 244 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15811452 + ... + 15824988.

It is an arithmetic number, because the mean of its divisors is an integer number (3786849360).

Almost surely, 2^214131244140 is an apocalyptic number.

214131244140 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 214131244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363537538560).

214131244140 is an abundant number, since it is smaller than the sum of its proper divisors (512943832980).

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

214131244140 is a wasteful number, since it uses less digits than its factorization.

214131244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214131244140 its reverse (41442131412), we get a palindrome (255573375552).

The spelling of 214131244140 in words is "two hundred fourteen billion, one hundred thirty-one million, two hundred forty-four thousand, one hundred forty".