42270452640 has 672 divisors, whose sum is σ = 164246893776. Its totient is φ = 10212065280.

The previous prime is 42270452639. The next prime is 42270452663. The reversal of 42270452640 is 4625407224.

42270452640 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 0 + 4 + 5 + 2 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7078193424 + 35192259216 = 84132^2 + 187596^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42270452595 and 42270452604.

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 111 ways as a sum of consecutive naturals, for example, 92495292 + ... + 92495748.

Almost surely, 2^42270452640 is an apocalyptic number.

42270452640 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 42270452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82123446888).

42270452640 is an abundant number, since it is smaller than the sum of its proper divisors (121976441136).

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

42270452640 is a wasteful number, since it uses less digits than its factorization.

42270452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 541 counting only the distinct ones).

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

Adding to 42270452640 its reverse (4625407224), we get a palindrome (46895859864).

The spelling of 42270452640 in words is "forty-two billion, two hundred seventy million, four hundred fifty-two thousand, six hundred forty".