214155304000 has 224 divisors, whose sum is σ = 581150943360. Its totient is φ = 77527296000.

The previous prime is 214155303997. The next prime is 214155304021. The reversal of 214155304000 is 403551412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 20146687 + ... + 20157313.

Almost surely, 2^214155304000 is an apocalyptic number.

214155304000 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 214155304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290575471680).

214155304000 is an abundant number, since it is smaller than the sum of its proper divisors (366995639360).

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

214155304000 is a wasteful number, since it uses less digits than its factorization.

214155304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 214155304000 its reverse (403551412), we get a palindrome (214558855412).

The spelling of 214155304000 in words is "two hundred fourteen billion, one hundred fifty-five million, three hundred four thousand".