4228327992240 has 360 divisors, whose sum is σ = 15759984108960. Its totient is φ = 1015095121920.

The previous prime is 4228327992223. The next prime is 4228327992253. The reversal of 4228327992240 is 422997238224.

4228327992240 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 327 + 99 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×4228327992240³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8737756 + ... + 9208964.

It is an arithmetic number, because the mean of its divisors is an integer number (43777733636).

Almost surely, 2^{4228327992240} is an apocalyptic number.

4228327992240 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 4228327992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879992054480).

4228327992240 is an abundant number, since it is smaller than the sum of its proper divisors (11531656116720).

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

4228327992240 is a wasteful number, since it uses less digits than its factorization.

4228327992240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471353 (or 471333 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4228327992240 in words is "four trillion, two hundred twenty-eight billion, three hundred twenty-seven million, nine hundred ninety-two thousand, two hundred forty".