42485033145600 has 648 divisors, whose sum is σ = 161124549243840. Its totient is φ = 10643282657280.

The previous prime is 42485033145593. The next prime is 42485033145619. The reversal of 42485033145600 is 654133058424.

42485033145600 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 5 + 0 + 3 + 31 + 4 + 5 + 600 = 666.

42485033145600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535582741 + ... + 535662059.

Almost surely, 2^{42485033145600} is an apocalyptic number.

42485033145600 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 42485033145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80562274621920).

42485033145600 is an abundant number, since it is smaller than the sum of its proper divisors (118639516098240).

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

42485033145600 is a wasteful number, since it uses less digits than its factorization.

42485033145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79915 (or 79893 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 42485033145600 in words is "forty-two trillion, four hundred eighty-five billion, thirty-three million, one hundred forty-five thousand, six hundred".