213434004000 has 288 divisors, whose sum is σ = 813368739456. Its totient is φ = 48784780800.

The previous prime is 213434003999. The next prime is 213434004013. The reversal of 213434004000 is 400434312.

213434004000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406509 + ... + 769491.

It is an arithmetic number, because the mean of its divisors is an integer number (2824197012).

Almost surely, 2^213434004000 is an apocalyptic number.

213434004000 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 213434004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406684369728).

213434004000 is an abundant number, since it is smaller than the sum of its proper divisors (599934735456).

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

213434004000 is a wasteful number, since it uses less digits than its factorization.

213434004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363025 (or 363000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 213434004000 its reverse (400434312), we get a palindrome (213834438312).

The spelling of 213434004000 in words is "two hundred thirteen billion, four hundred thirty-four million, four thousand".