42418459036800 has 768 divisors, whose sum is σ = 193545726566400. Its totient is φ = 8814223872000.

The previous prime is 42418459036763. The next prime is 42418459036817. The reversal of 42418459036800 is 863095481424.

42418459036800 is a `hidden beast` number, since 4 + 2 + 4 + 18 + 4 + 590 + 36 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3464785 + ... + 9840815.

It is an arithmetic number, because the mean of its divisors is an integer number (252012664800).

Almost surely, 2^{42418459036800} is an apocalyptic number.

42418459036800 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 42418459036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96772863283200).

42418459036800 is an abundant number, since it is smaller than the sum of its proper divisors (151127267529600).

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

42418459036800 is a wasteful number, since it uses less digits than its factorization.

42418459036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376082 (or 6376059 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 42418459036800 in words is "forty-two trillion, four hundred eighteen billion, four hundred fifty-nine million, thirty-six thousand, eight hundred".