214243015440000 has 320 divisors, whose sum is σ = 752957092103040. Its totient is φ = 53770795008000.

The previous prime is 214243015439993. The next prime is 214243015440011. The reversal of 214243015440000 is 44510342412.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 214243015440000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22175272 + ... + 30335271.

It is an arithmetic number, because the mean of its divisors is an integer number (2352990912822).

Almost surely, 2^{214243015440000} is an apocalyptic number.

214243015440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243015440000 is an abundant number, since it is smaller than the sum of its proper divisors (538714076663040).

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

214243015440000 is an equidigital number, since it uses as much as digits as its factorization.

214243015440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52510597 (or 52510570 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 214243015440000 its reverse (44510342412), we get a palindrome (214287525782412).

The spelling of 214243015440000 in words is "two hundred fourteen trillion, two hundred forty-three billion, fifteen million, four hundred forty thousand".