42825981120 has 448 divisors, whose sum is σ = 156719235456. Its totient is φ = 9814671360.

The previous prime is 42825981097. The next prime is 42825981131. The reversal of 42825981120 is 2118952824.

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, 20578480 + ... + 20580560.

It is an arithmetic number, because the mean of its divisors is an integer number (349819722).

Almost surely, 2^42825981120 is an apocalyptic number.

42825981120 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 42825981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78359617728).

42825981120 is an abundant number, since it is smaller than the sum of its proper divisors (113893254336).

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

42825981120 is a wasteful number, since it uses less digits than its factorization.

42825981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 42825981120 in words is "forty-two billion, eight hundred twenty-five million, nine hundred eighty-one thousand, one hundred twenty".