42059472960 has 112 divisors (see below), whose sum is σ = 133641096192. Its totient is φ = 11207270400.

The previous prime is 42059472947. The next prime is 42059472967. The reversal of 42059472960 is 6927495024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42059472967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290465 + ... + 1322655.

Almost surely, 2^42059472960 is an apocalyptic number.

42059472960 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 42059472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820548096).

42059472960 is an abundant number, since it is smaller than the sum of its proper divisors (91581623232).

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

42059472960 is a wasteful number, since it uses less digits than its factorization.

42059472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33572 (or 33562 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 42059472960 in words is "forty-two billion, fifty-nine million, four hundred seventy-two thousand, nine hundred sixty".