214204204032400 has 480 divisors, whose sum is σ = 530655762420000. Its totient is φ = 83065651200000.

The previous prime is 214204204032383. The next prime is 214204204032449. The reversal of 214204204032400 is 4230402402412.

It can be written as a sum of positive squares in 48 ways, for example, as 208563161024656 + 5641043007744 = 14441716^2 + 2375088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508798584190 + ... + 508798584610.

It is an arithmetic number, because the mean of its divisors is an integer number (1105532838375).

Almost surely, 2^{214204204032400} is an apocalyptic number.

214204204032400 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 214204204032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265327881210000).

214204204032400 is an abundant number, since it is smaller than the sum of its proper divisors (316451558387600).

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

214204204032400 is a wasteful number, since it uses less digits than its factorization.

214204204032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 214204204032400 its reverse (4230402402412), we get a palindrome (218434606434812).

The spelling of 214204204032400 in words is "two hundred fourteen trillion, two hundred four billion, two hundred four million, thirty-two thousand, four hundred".