214234004000 has 96 divisors (see below), whose sum is σ = 529130714112. Its totient is φ = 85244640000.

The previous prime is 214234003987. The next prime is 214234004011. The reversal of 214234004000 is 400432412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623795 + ... + 904205.

It is an arithmetic number, because the mean of its divisors is an integer number (5511778272).

Almost surely, 2^214234004000 is an apocalyptic number.

214234004000 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 214234004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264565357056).

214234004000 is an abundant number, since it is smaller than the sum of its proper divisors (314896710112).

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

214234004000 is a wasteful number, since it uses less digits than its factorization.

214234004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280627 (or 280609 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214234004000 its reverse (400432412), we get a palindrome (214634436412).

The spelling of 214234004000 in words is "two hundred fourteen billion, two hundred thirty-four million, four thousand".