42081005960 has 48 divisors (see below), whose sum is σ = 110140597260. Its totient is φ = 14427772800.

The previous prime is 42081005909. The next prime is 42081005983. The reversal of 42081005960 is 6950018024.

It can be written as a sum of positive squares in 2 ways, for example, as 38081961316 + 3999044644 = 195146^2 + 63238^2 .

It is a super-2 number, since 2×42081005960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42081005960.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10732991 + ... + 10736910.

Almost surely, 2^42081005960 is an apocalyptic number.

42081005960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42081005960 is an abundant number, since it is smaller than the sum of its proper divisors (68059591300).

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

42081005960 is a wasteful number, since it uses less digits than its factorization.

42081005960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21469926 (or 21469915 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 42081005960 in words is "forty-two billion, eighty-one million, five thousand, nine hundred sixty".