42772230144 has 468 divisors, whose sum is σ = 149213350104. Its totient is φ = 12206702592.

The previous prime is 42772230119. The next prime is 42772230173. The reversal of 42772230144 is 44103227724.

42772230144 is a `hidden beast` number, since 427 + 7 + 223 + 0 + 1 + 4 + 4 = 666.

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 = 42772230099 and 42772230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48770634 + ... + 48771510.

Almost surely, 2^42772230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42772230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74606675052).

42772230144 is an abundant number, since it is smaller than the sum of its proper divisors (106441119960).

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

42772230144 is an frugal number, since it uses more digits than its factorization.

42772230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 42772230144 its reverse (44103227724), we get a palindrome (86875457868).

The spelling of 42772230144 in words is "forty-two billion, seven hundred seventy-two million, two hundred thirty thousand, one hundred forty-four".