214449042240 has 560 divisors, whose sum is σ = 814682119680. Its totient is φ = 53427548160.

The previous prime is 214449042239. The next prime is 214449042251. The reversal of 214449042240 is 42240944412.

214449042240 is a `hidden beast` number, since 2 + 144 + 4 + 90 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214449042195 and 214449042204.

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 79 ways as a sum of consecutive naturals, for example, 23297479 + ... + 23306681.

Almost surely, 2^214449042240 is an apocalyptic number.

214449042240 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 214449042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407341059840).

214449042240 is an abundant number, since it is smaller than the sum of its proper divisors (600233077440).

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

214449042240 is a wasteful number, since it uses less digits than its factorization.

214449042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 214449042240 its reverse (42240944412), we get a palindrome (256689986652).

The spelling of 214449042240 in words is "two hundred fourteen billion, four hundred forty-nine million, forty-two thousand, two hundred forty".