4227482638080 has 2880 divisors, whose sum is σ = 18093384916992. Its totient is φ = 933697290240.

The previous prime is 4227482638079. The next prime is 4227482638187. The reversal of 4227482638080 is 808362847224.

4227482638080 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 482 + 6 + 3 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×4227482638080³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 50933525719 + ... + 50933525801.

Almost surely, 2^{4227482638080} is an apocalyptic number.

4227482638080 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 4227482638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9046692458496).

4227482638080 is an abundant number, since it is smaller than the sum of its proper divisors (13865902278912).

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

4227482638080 is a wasteful number, since it uses less digits than its factorization.

4227482638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4227482638080 in words is "four trillion, two hundred twenty-seven billion, four hundred eighty-two million, six hundred thirty-eight thousand, eighty".