42448828680 has 256 divisors, whose sum is σ = 145675584000. Its totient is φ = 10986845184.

The previous prime is 42448828679. The next prime is 42448828687. The reversal of 42448828680 is 8682884424.

42448828680 is a `hidden beast` number, since 4 + 2 + 4 + 488 + 2 + 86 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42448828687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20338597 + ... + 20340683.

It is an arithmetic number, because the mean of its divisors is an integer number (569045250).

Almost surely, 2^42448828680 is an apocalyptic number.

42448828680 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 42448828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72837792000).

42448828680 is an abundant number, since it is smaller than the sum of its proper divisors (103226755320).

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

42448828680 is a wasteful number, since it uses less digits than its factorization.

42448828680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 42448828680 in words is "forty-two billion, four hundred forty-eight million, eight hundred twenty-eight thousand, six hundred eighty".