214304024004400 has 360 divisors, whose sum is σ = 596611746404352. Its totient is φ = 73810309056000.

The previous prime is 214304024004341. The next prime is 214304024004407. The reversal of 214304024004400 is 4400420403412.

It is a super-2 number, since 2×214304024004400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214304024004407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68999319 + ... + 72038281.

Almost surely, 2^{214304024004400} is an apocalyptic number.

214304024004400 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 214304024004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298305873202176).

214304024004400 is an abundant number, since it is smaller than the sum of its proper divisors (382307722399952).

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

214304024004400 is a wasteful number, since it uses less digits than its factorization.

214304024004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039081 (or 3039059 counting only the distinct ones).

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

Adding to 214304024004400 its reverse (4400420403412), we get a palindrome (218704444407812).

The spelling of 214304024004400 in words is "two hundred fourteen trillion, three hundred four billion, twenty-four million, four thousand, four hundred".