224727466040 has 256 divisors, whose sum is σ = 639946137600. Its totient is φ = 68992934400.

The previous prime is 224727466027. The next prime is 224727466153. The reversal of 224727466040 is 40664727422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 224727465982 and 224727466000.

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, 56081717 + ... + 56085723.

It is an arithmetic number, because the mean of its divisors is an integer number (2499789600).

Almost surely, 2^224727466040 is an apocalyptic number.

224727466040 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 224727466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319973068800).

224727466040 is an abundant number, since it is smaller than the sum of its proper divisors (415218671560).

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

224727466040 is a wasteful number, since it uses less digits than its factorization.

224727466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 224727466040 in words is "two hundred twenty-four billion, seven hundred twenty-seven million, four hundred sixty-six thousand, forty".