42418922898800 has 240 divisors, whose sum is σ = 123199031424000. Its totient is φ = 13720731678720.

The previous prime is 42418922898773. The next prime is 42418922898811. The reversal of 42418922898800 is 889822981424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189701 + ... + 9212699.

It is an arithmetic number, because the mean of its divisors is an integer number (513329297600).

Almost surely, 2^{42418922898800} is an apocalyptic number.

42418922898800 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 42418922898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61599515712000).

42418922898800 is an abundant number, since it is smaller than the sum of its proper divisors (80780108525200).

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

42418922898800 is a wasteful number, since it uses less digits than its factorization.

42418922898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023120 (or 9023109 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 65.

The spelling of 42418922898800 in words is "forty-two trillion, four hundred eighteen billion, nine hundred twenty-two million, eight hundred ninety-eight thousand, eight hundred".