42085574644800 has 504 divisors, whose sum is σ = 141897697180416. Its totient is φ = 10920068976640.

The previous prime is 42085574644679. The next prime is 42085574644859. The reversal of 42085574644800 is 844647558024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834342129 + ... + 1834365071.

Almost surely, 2^{42085574644800} is an apocalyptic number.

42085574644800 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 42085574644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70948848590208).

42085574644800 is an abundant number, since it is smaller than the sum of its proper divisors (99812122535616).

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

42085574644800 is a wasteful number, since it uses less digits than its factorization.

42085574644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 57.

The spelling of 42085574644800 in words is "forty-two trillion, eighty-five billion, five hundred seventy-four million, six hundred forty-four thousand, eight hundred".