42560000000 has 416 divisors, whose sum is σ = 127984047360. Its totient is φ = 13824000000.

The previous prime is 42559999991. The next prime is 42560000017. The reversal of 42560000000 is 6524.

It is a super-2 number, since 2×42560000000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239999991 + ... + 2240000009.

It is an arithmetic number, because the mean of its divisors is an integer number (307653960).

Almost surely, 2^42560000000 is an apocalyptic number.

42560000000 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 42560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63992023680).

42560000000 is an abundant number, since it is smaller than the sum of its proper divisors (85424047360).

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

42560000000 is an frugal number, since it uses more digits than its factorization.

42560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 42560000000 its reverse (6524), we get a palindrome (42560006524).

The spelling of 42560000000 in words is "forty-two billion, five hundred sixty million", and thus it is an aban number.