42287763760 has 40 divisors (see below), whose sum is σ = 107257148496. Its totient is φ = 15377368320.

The previous prime is 42287763737. The next prime is 42287763773. The reversal of 42287763760 is 6736778224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42287763698 and 42287763707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24026259 + ... + 24028018.

Almost surely, 2^42287763760 is an apocalyptic number.

42287763760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42287763760 is an abundant number, since it is smaller than the sum of its proper divisors (64969384736).

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

42287763760 is a wasteful number, since it uses less digits than its factorization.

42287763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48054301 (or 48054295 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 42287763760 in words is "forty-two billion, two hundred eighty-seven million, seven hundred sixty-three thousand, seven hundred sixty".