42609504960 has 672 divisors, whose sum is σ = 169045493760. Its totient is φ = 9754214400.

The previous prime is 42609504953. The next prime is 42609505021. The reversal of 42609504960 is 6940590624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42228936 + ... + 42229944.

Almost surely, 2^42609504960 is an apocalyptic number.

42609504960 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 42609504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84522746880).

42609504960 is an abundant number, since it is smaller than the sum of its proper divisors (126435988800).

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

42609504960 is a wasteful number, since it uses less digits than its factorization.

42609504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42609504960 in words is "forty-two billion, six hundred nine million, five hundred four thousand, nine hundred sixty".