224032414140 has 192 divisors, whose sum is σ = 730904630400. Its totient is φ = 56891455488.

The previous prime is 224032414103. The next prime is 224032414171. The reversal of 224032414140 is 41414230422.

224032414140 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 3 + 241 + 414 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045194 + ... + 1241166.

It is an arithmetic number, because the mean of its divisors is an integer number (3806794950).

Almost surely, 2^224032414140 is an apocalyptic number.

224032414140 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 224032414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365452315200).

224032414140 is an abundant number, since it is smaller than the sum of its proper divisors (506872216260).

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

224032414140 is a wasteful number, since it uses less digits than its factorization.

224032414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196093 (or 196085 counting only the distinct ones).

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

Adding to 224032414140 its reverse (41414230422), we get a palindrome (265446644562).

The spelling of 224032414140 in words is "two hundred twenty-four billion, thirty-two million, four hundred fourteen thousand, one hundred forty".