42485132880 has 320 divisors, whose sum is σ = 148892256000. Its totient is φ = 11133388800.

The previous prime is 42485132861. The next prime is 42485132923. The reversal of 42485132880 is 8823158424.

42485132880 is a `hidden beast` number, since 4 + 248 + 5 + 1 + 328 + 80 = 666.

42485132880 is digitally balanced in base 2, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32505187 + ... + 32506493.

It is an arithmetic number, because the mean of its divisors is an integer number (465288300).

Almost surely, 2^42485132880 is an apocalyptic number.

42485132880 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 42485132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74446128000).

42485132880 is an abundant number, since it is smaller than the sum of its proper divisors (106407123120).

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

42485132880 is a wasteful number, since it uses less digits than its factorization.

42485132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 42485132880 in words is "forty-two billion, four hundred eighty-five million, one hundred thirty-two thousand, eight hundred eighty".