214200486240 has 384 divisors, whose sum is σ = 738841098240. Its totient is φ = 51846193152.

The previous prime is 214200486233. The next prime is 214200486271. The reversal of 214200486240 is 42684002412.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 144436539 + ... + 144438021.

It is an arithmetic number, because the mean of its divisors is an integer number (1924065360).

Almost surely, 2^214200486240 is an apocalyptic number.

214200486240 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 214200486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369420549120).

214200486240 is an abundant number, since it is smaller than the sum of its proper divisors (524640612000).

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

214200486240 is a wasteful number, since it uses less digits than its factorization.

214200486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 214200486240 its reverse (42684002412), we get a palindrome (256884488652).

The spelling of 214200486240 in words is "two hundred fourteen billion, two hundred million, four hundred eighty-six thousand, two hundred forty".