214024400000 has 96 divisors (see below), whose sum is σ = 532937803860. Its totient is φ = 85609600000.

The previous prime is 214024399987. The next prime is 214024400003. The reversal of 214024400000 is 4420412.

It can be written as a sum of positive squares in 6 ways, for example, as 47827940416 + 166196459584 = 218696^2 + 407672^2 .

It is not an unprimeable number, because it can be changed into a prime (214024400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132470 + ... + 667530.

Almost surely, 2^214024400000 is an apocalyptic number.

214024400000 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 214024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266468901930).

214024400000 is an abundant number, since it is smaller than the sum of its proper divisors (318913403860).

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

214024400000 is an frugal number, since it uses more digits than its factorization.

214024400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535100 (or 535068 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 214024400000 its reverse (4420412), we get a palindrome (214028820412).

The spelling of 214024400000 in words is "two hundred fourteen billion, twenty-four million, four hundred thousand".