224413286400 has 1020 divisors, whose sum is σ = 884965177800. Its totient is φ = 56056872960.

The previous prime is 224413286359. The next prime is 224413286429. The reversal of 224413286400 is 4682314422.

224413286400 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 1 + 3 + 2 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×224413286400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2521497556 + ... + 2521497644.

Almost surely, 2^224413286400 is an apocalyptic number.

224413286400 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 224413286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442482588900).

224413286400 is an abundant number, since it is smaller than the sum of its proper divisors (660551891400).

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

224413286400 is an frugal number, since it uses more digits than its factorization.

224413286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 224413286400 in words is "two hundred twenty-four billion, four hundred thirteen million, two hundred eighty-six thousand, four hundred".