42265116320 has 96 divisors (see below), whose sum is σ = 114707674368. Its totient is φ = 14415740928.

The previous prime is 42265116301. The next prime is 42265116337. The reversal of 42265116320 is 2361156224.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 118397 + ... + 313923.

It is an arithmetic number, because the mean of its divisors is an integer number (1194871608).

Almost surely, 2^42265116320 is an apocalyptic number.

42265116320 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 42265116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57353837184).

42265116320 is an abundant number, since it is smaller than the sum of its proper divisors (72442558048).

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

42265116320 is a wasteful number, since it uses less digits than its factorization.

42265116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195742 (or 195734 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 42265116320 in words is "forty-two billion, two hundred sixty-five million, one hundred sixteen thousand, three hundred twenty".