42772446144 has 448 divisors, whose sum is σ = 138257280000. Its totient is φ = 12915044352.

The previous prime is 42772446139. The next prime is 42772446161. The reversal of 42772446144 is 44164427724.

42772446144 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 24 + 4 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42772446144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159005242 + ... + 159005510.

It is an arithmetic number, because the mean of its divisors is an integer number (308610000).

Almost surely, 2^42772446144 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 42772446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640000).

42772446144 is an abundant number, since it is smaller than the sum of its proper divisors (95484833856).

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

42772446144 is a wasteful number, since it uses less digits than its factorization.

42772446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The spelling of 42772446144 in words is "forty-two billion, seven hundred seventy-two million, four hundred forty-six thousand, one hundred forty-four".