42225406272 has 448 divisors, whose sum is σ = 145882644480. Its totient is φ = 11874885120.

The previous prime is 42225406243. The next prime is 42225406273. The reversal of 42225406272 is 27260452224.

42225406272 is a `hidden beast` number, since 4 + 2 + 2 + 25 + 4 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42225406273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69563793 + ... + 69564399.

Almost surely, 2^42225406272 is an apocalyptic number.

42225406272 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 42225406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72941322240).

42225406272 is an abundant number, since it is smaller than the sum of its proper divisors (103657238208).

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

42225406272 is an frugal number, since it uses more digits than its factorization.

42225406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 42225406272 its reverse (27260452224), we get a palindrome (69485858496).

The spelling of 42225406272 in words is "forty-two billion, two hundred twenty-five million, four hundred six thousand, two hundred seventy-two".