42378635654208 has 840 divisors, whose sum is σ = 149071582485144. Its totient is φ = 11865305088000.

The previous prime is 42378635654197. The next prime is 42378635654227. The reversal of 42378635654208 is 80245653687324.

42378635654208 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 63 + 565 + 4 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3967299108864 + 38411336545344 = 1991808^2 + 6197688^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16168879138 + ... + 16168881758.

Almost surely, 2^{42378635654208} is an apocalyptic number.

42378635654208 is a gapful number since it is divisible by the number (48) 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 42378635654208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74535791242572).

42378635654208 is an abundant number, since it is smaller than the sum of its proper divisors (106692946830936).

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

42378635654208 is a wasteful number, since it uses less digits than its factorization.

42378635654208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 42378635654208 in words is "forty-two trillion, three hundred seventy-eight billion, six hundred thirty-five million, six hundred fifty-four thousand, two hundred eight".