4225479549984 has 384 divisors, whose sum is σ = 15386924851200. Its totient is φ = 1095988285440.

The previous prime is 4225479549901. The next prime is 4225479550057. The reversal of 4225479549984 is 4899459745224.

It is a happy number.

4225479549984 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 4 + 79 + 549 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×4225479549984³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 47789464 + ... + 47877800.

It is an arithmetic number, because the mean of its divisors is an integer number (40070116800).

Almost surely, 2^{4225479549984} is an apocalyptic number.

4225479549984 is a gapful number since it is divisible by the number (44) 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 4225479549984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693462425600).

4225479549984 is an abundant number, since it is smaller than the sum of its proper divisors (11161445301216).

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

4225479549984 is a wasteful number, since it uses less digits than its factorization.

4225479549984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89093 (or 89079 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 4225479549984 in words is "four trillion, two hundred twenty-five billion, four hundred seventy-nine million, five hundred forty-nine thousand, nine hundred eighty-four".