42008396340960 has 576 divisors, whose sum is σ = 169190608204800. Its totient is φ = 9486224133120.

The previous prime is 42008396340931. The next prime is 42008396340961. The reversal of 42008396340960 is 6904369380024.

42008396340960 is a `hidden beast` number, since 4 + 200 + 8 + 3 + 9 + 6 + 340 + 96 + 0 = 666.

42008396340960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42008396340897 and 42008396340906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42008396340961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40483005 + ... + 41507715.

It is an arithmetic number, because the mean of its divisors is an integer number (293733694800).

Almost surely, 2^{42008396340960} is an apocalyptic number.

42008396340960 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 42008396340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84595304102400).

42008396340960 is an abundant number, since it is smaller than the sum of its proper divisors (127182211863840).

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

42008396340960 is a wasteful number, since it uses less digits than its factorization.

42008396340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024836 (or 1024811 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42008396340960 in words is "forty-two trillion, eight billion, three hundred ninety-six million, three hundred forty thousand, nine hundred sixty".