224373821440 has 208 divisors, whose sum is σ = 546369842880. Its totient is φ = 88438210560.

The previous prime is 224373821429. The next prime is 224373821501. The reversal of 224373821440 is 44128373422.

It is a happy number.

It is a super-2 number, since 2×224373821440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224373821393 and 224373821402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592015171 + ... + 592015549.

Almost surely, 2^224373821440 is an apocalyptic number.

224373821440 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 224373821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273184921440).

224373821440 is an abundant number, since it is smaller than the sum of its proper divisors (321996021440).

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

224373821440 is a wasteful number, since it uses less digits than its factorization.

224373821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 224373821440 in words is "two hundred twenty-four billion, three hundred seventy-three million, eight hundred twenty-one thousand, four hundred forty".