42551147776 has 72 divisors (see below), whose sum is σ = 86129152200. Its totient is φ = 20978073600.

The previous prime is 42551147761. The next prime is 42551147789. The reversal of 42551147776 is 67774115524.

42551147776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 680166400 + 41870981376 = 26080^2 + 204624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8860576 + ... + 8865376.

It is an arithmetic number, because the mean of its divisors is an integer number (1196238225).

Almost surely, 2^42551147776 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 42551147776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43064576100).

42551147776 is an abundant number, since it is smaller than the sum of its proper divisors (43578004424).

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

42551147776 is an equidigital number, since it uses as much as digits as its factorization.

42551147776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5281 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 49.

The spelling of 42551147776 in words is "forty-two billion, five hundred fifty-one million, one hundred forty-seven thousand, seven hundred seventy-six".