214210204000 has 144 divisors (see below), whose sum is σ = 569916285120. Its totient is φ = 79092748800.

The previous prime is 214210203989. The next prime is 214210204031. The reversal of 214210204000 is 402012412.

It is a super-2 number, since 2×214210204000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517561 + ... + 834439.

It is an arithmetic number, because the mean of its divisors is an integer number (3957751980).

Almost surely, 2^214210204000 is an apocalyptic number.

214210204000 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 214210204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284958142560).

214210204000 is an abundant number, since it is smaller than the sum of its proper divisors (355706081120).

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

214210204000 is a wasteful number, since it uses less digits than its factorization.

214210204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316930 (or 316899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 214210204000 its reverse (402012412), we get a palindrome (214612216412).

The spelling of 214210204000 in words is "two hundred fourteen billion, two hundred ten million, two hundred four thousand".