4227733440 has 448 divisors, whose sum is σ = 17275576320. Its totient is φ = 965219328.

The previous prime is 4227733439. The next prime is 4227733481. The reversal of 4227733440 is 443377224.

4227733440 is a `hidden beast` number, since 42 + 277 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 4227733395 and 4227733404.

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, 4898449 + ... + 4899311.

Almost surely, 2^4227733440 is an apocalyptic number.

4227733440 is a gapful number since it is divisible by the number (40) 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 4227733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637788160).

4227733440 is an abundant number, since it is smaller than the sum of its proper divisors (13047842880).

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

4227733440 is an frugal number, since it uses more digits than its factorization.

4227733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 4227733440 is about 65021.0230617760. The cubic root of 4227733440 is about 1616.9721220165.

The spelling of 4227733440 in words is "four billion, two hundred twenty-seven million, seven hundred thirty-three thousand, four hundred forty".