42722688990880 has 48 divisors (see below), whose sum is σ = 100932971597640. Its totient is φ = 17088970816512.

The previous prime is 42722688990859. The next prime is 42722688990881. The reversal of 42722688990880 is 8809988622724.

It can be written as a sum of positive squares in 4 ways, for example, as 42650355964176 + 72333026704 = 6530724^2 + 268948^2 .

It is a super-3 number, since 3×42722688990880³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42722688990881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28666702 + ... + 30120178.

Almost surely, 2^{42722688990880} is an apocalyptic number.

42722688990880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42722688990880 is an abundant number, since it is smaller than the sum of its proper divisors (58210282606760).

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

42722688990880 is a wasteful number, since it uses less digits than its factorization.

42722688990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637201 (or 1637193 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 73.

The spelling of 42722688990880 in words is "forty-two trillion, seven hundred twenty-two billion, six hundred eighty-eight million, nine hundred ninety thousand, eight hundred eighty".