42202676880 has 1440 divisors, whose sum is σ = 194500051200. Its totient is φ = 8095997952.

The previous prime is 42202676869. The next prime is 42202676911. The reversal of 42202676880 is 8867620224.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252710557 + ... + 252710723.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^42202676880 is an apocalyptic number.

42202676880 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 42202676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97250025600).

42202676880 is an abundant number, since it is smaller than the sum of its proper divisors (152297374320).

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

42202676880 is a wasteful number, since it uses less digits than its factorization.

42202676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42202676880 in words is "forty-two billion, two hundred two million, six hundred seventy-six thousand, eight hundred eighty".