42706298880 has 720 divisors, whose sum is σ = 173565477540. Its totient is φ = 9710862336.

The previous prime is 42706298861. The next prime is 42706298903. The reversal of 42706298880 is 8889260724.

42706298880 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 629 + 8 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40913961984 + 1792336896 = 202272^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221276064 + ... + 221276256.

Almost surely, 2^42706298880 is an apocalyptic number.

42706298880 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 42706298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86782738770).

42706298880 is an abundant number, since it is smaller than the sum of its proper divisors (130859178660).

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

42706298880 is an equidigital number, since it uses as much as digits as its factorization.

42706298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 42706298880 in words is "forty-two billion, seven hundred six million, two hundred ninety-eight thousand, eight hundred eighty".