4582421206272 has 2430 divisors, whose sum is σ = 18667380762954. Its totient is φ = 1108009082880.

The previous prime is 4582421206271. The next prime is 4582421206277. The reversal of 4582421206272 is 2726021242854.

4582421206272 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 4 + 2 + 12 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3172445450496 + 1409975755776 = 1781136^2 + 1187424^2 .

It is a super-2 number, since 2×4582421206272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4582421206271) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 147820038897 + ... + 147820038927.

Almost surely, 2^{4582421206272} is an apocalyptic number.

4582421206272 is a gapful number since it is divisible by the number (42) 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 4582421206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333690381477).

4582421206272 is an abundant number, since it is smaller than the sum of its proper divisors (14084959556682).

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

4582421206272 is a wasteful number, since it uses less digits than its factorization.

4582421206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4582421206272 in words is "four trillion, five hundred eighty-two billion, four hundred twenty-one million, two hundred six thousand, two hundred seventy-two".