42485346288 has 480 divisors, whose sum is σ = 154742095872. Its totient is φ = 10962604800.

The previous prime is 42485346223. The next prime is 42485346331. The reversal of 42485346288 is 88264358424.

42485346288 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 5 + 3 + 4 + 628 + 8 = 666.

It is a super-2 number, since 2×42485346288² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 57180445 + ... + 57181187.

Almost surely, 2^42485346288 is an apocalyptic number.

42485346288 is a gapful number since it is divisible by the number (48) 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 42485346288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77371047936).

42485346288 is an abundant number, since it is smaller than the sum of its proper divisors (112256749584).

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

42485346288 is a wasteful number, since it uses less digits than its factorization.

42485346288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 957 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 42485346288 in words is "forty-two billion, four hundred eighty-five million, three hundred forty-six thousand, two hundred eighty-eight".