42418503225504 has 432 divisors, whose sum is σ = 146122152059520. Its totient is φ = 11624144716800.

The previous prime is 42418503225463. The next prime is 42418503225529. The reversal of 42418503225504 is 40552230581424.

42418503225504 is a `hidden beast` number, since 4 + 2 + 4 + 18 + 50 + 32 + 2 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42418503225504.

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 71 ways as a sum of consecutive naturals, for example, 61453237 + ... + 62139659.

It is an arithmetic number, because the mean of its divisors is an integer number (338245722360).

Almost surely, 2^{42418503225504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42418503225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061076029760).

42418503225504 is an abundant number, since it is smaller than the sum of its proper divisors (103703648834016).

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

42418503225504 is a wasteful number, since it uses less digits than its factorization.

42418503225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686633 (or 686615 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 42418503225504 in words is "forty-two trillion, four hundred eighteen billion, five hundred three million, two hundred twenty-five thousand, five hundred four".