224412341400 has 384 divisors, whose sum is σ = 861148008000. Its totient is φ = 53334650880.

The previous prime is 224412341393. The next prime is 224412341441. The reversal of 224412341400 is 4143214422.

224412341400 is a `hidden beast` number, since 2 + 24 + 4 + 1 + 234 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1980684 + ... + 2090916.

Almost surely, 2^224412341400 is an apocalyptic number.

224412341400 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 224412341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430574004000).

224412341400 is an abundant number, since it is smaller than the sum of its proper divisors (636735666600).

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

224412341400 is a wasteful number, since it uses less digits than its factorization.

224412341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110300 (or 110285 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224412341400 its reverse (4143214422), we get a palindrome (228555555822).

The spelling of 224412341400 in words is "two hundred twenty-four billion, four hundred twelve million, three hundred forty-one thousand, four hundred".