42418738252800 has 2376 divisors, whose sum is σ = 197871800156160. Its totient is φ = 8477805772800.

The previous prime is 42418738252747. The next prime is 42418738252801. The reversal of 42418738252800 is 825283781424.

It is a happy number.

42418738252800 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 87 + 38 + 2 + 528 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (42418738252801) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 5178696705 + ... + 5178704895.

Almost surely, 2^{42418738252800} is an apocalyptic number.

42418738252800 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 42418738252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98935900078080).

42418738252800 is an abundant number, since it is smaller than the sum of its proper divisors (155453061903360).

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

42418738252800 is a wasteful number, since it uses less digits than its factorization.

42418738252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 42418738252800 in words is "forty-two trillion, four hundred eighteen billion, seven hundred thirty-eight million, two hundred fifty-two thousand, eight hundred".