224018771040 has 240 divisors, whose sum is σ = 794155114368. Its totient is φ = 59469686784.

The previous prime is 224018770999. The next prime is 224018771063. The reversal of 224018771040 is 40177810422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×224018771040³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224018770986 and 224018771004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2851324 + ... + 2928836.

Almost surely, 2^224018771040 is an apocalyptic number.

224018771040 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 224018771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397077557184).

224018771040 is an abundant number, since it is smaller than the sum of its proper divisors (570136343328).

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

224018771040 is a wasteful number, since it uses less digits than its factorization.

224018771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77763 (or 77746 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 224018771040 in words is "two hundred twenty-four billion, eighteen million, seven hundred seventy-one thousand, forty".