214234004400 has 120 divisors (see below), whose sum is σ = 739052437200. Its totient is φ = 52734520320.

The previous prime is 214234004381. The next prime is 214234004401. The reversal of 214234004400 is 4400432412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214234004401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6850875 + ... + 6882074.

It is an arithmetic number, because the mean of its divisors is an integer number (6158770310).

Almost surely, 2^214234004400 is an apocalyptic number.

214234004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214234004400 is an abundant number, since it is smaller than the sum of its proper divisors (524818432800).

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

214234004400 is a wasteful number, since it uses less digits than its factorization.

214234004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732983 (or 13732972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214234004400 its reverse (4400432412), we get a palindrome (218634436812).

The spelling of 214234004400 in words is "two hundred fourteen billion, two hundred thirty-four million, four thousand, four hundred".