42048227760 has 640 divisors, whose sum is σ = 167440711680. Its totient is φ = 8476876800.

The previous prime is 42048227747. The next prime is 42048227797. The reversal of 42048227760 is 6772284024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95781621 + ... + 95782059.

It is an arithmetic number, because the mean of its divisors is an integer number (261626112).

Almost surely, 2^42048227760 is an apocalyptic number.

42048227760 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 42048227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83720355840).

42048227760 is an abundant number, since it is smaller than the sum of its proper divisors (125392483920).

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

42048227760 is a wasteful number, since it uses less digits than its factorization.

42048227760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 42048227760 in words is "forty-two billion, forty-eight million, two hundred twenty-seven thousand, seven hundred sixty".