4224888159840 has 576 divisors, whose sum is σ = 14955039590400. Its totient is φ = 1085640192000.

The previous prime is 4224888159803. The next prime is 4224888159881. The reversal of 4224888159840 is 489518884224.

4224888159840 is a `hidden beast` number, since 4 + 22 + 488 + 8 + 1 + 5 + 98 + 40 = 666.

It is a super-4 number, since 4×4224888159840⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815770371 + ... + 815775549.

It is an arithmetic number, because the mean of its divisors is an integer number (25963610400).

Almost surely, 2^{4224888159840} is an apocalyptic number.

4224888159840 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 4224888159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477519795200).

4224888159840 is an abundant number, since it is smaller than the sum of its proper divisors (10730151430560).

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

4224888159840 is a wasteful number, since it uses less digits than its factorization.

4224888159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 4224888159840 in words is "four trillion, two hundred twenty-four billion, eight hundred eighty-eight million, one hundred fifty-nine thousand, eight hundred forty".