42608255040 has 560 divisors, whose sum is σ = 168530503680. Its totient is φ = 10147368960.

The previous prime is 42608254987. The next prime is 42608255119. The reversal of 42608255040 is 4055280624.

It is a happy number.

42608255040 is a `hidden beast` number, since 4 + 2 + 60 + 8 + 2 + 550 + 40 = 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 = 42608254986 and 42608255004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10443721 + ... + 10447799.

It is an arithmetic number, because the mean of its divisors is an integer number (300947328).

Almost surely, 2^42608255040 is an apocalyptic number.

42608255040 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 42608255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84265251840).

42608255040 is an abundant number, since it is smaller than the sum of its proper divisors (125922248640).

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

42608255040 is a wasteful number, since it uses less digits than its factorization.

42608255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42608255040 in words is "forty-two billion, six hundred eight million, two hundred fifty-five thousand, forty".