214000120314240 has 256 divisors, whose sum is σ = 754450531369920. Its totient is φ = 51253251047424.

The previous prime is 214000120314091. The next prime is 214000120314251. The reversal of 214000120314240 is 42413021000412.

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 214000120314240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114937599 + ... + 116784638.

Almost surely, 2^{214000120314240} is an apocalyptic number.

214000120314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214000120314240 is an abundant number, since it is smaller than the sum of its proper divisors (540450411055680).

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

214000120314240 is a wasteful number, since it uses less digits than its factorization.

214000120314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231722309 (or 231722297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214000120314240 its reverse (42413021000412), we get a palindrome (256413141314652).

The spelling of 214000120314240 in words is "two hundred fourteen trillion, one hundred twenty million, three hundred fourteen thousand, two hundred forty".