42765927840 has 144 divisors (see below), whose sum is σ = 146673072000. Its totient is φ = 11346863616.

The previous prime is 42765927817. The next prime is 42765927859. The reversal of 42765927840 is 4872956724.

42765927840 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 592 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211941 + ... + 361179.

It is an arithmetic number, because the mean of its divisors is an integer number (1018563000).

Almost surely, 2^42765927840 is an apocalyptic number.

42765927840 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 42765927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73336536000).

42765927840 is an abundant number, since it is smaller than the sum of its proper divisors (103907144160).

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

42765927840 is a wasteful number, since it uses less digits than its factorization.

42765927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149459 (or 149448 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42765927840 in words is "forty-two billion, seven hundred sixty-five million, nine hundred twenty-seven thousand, eight hundred forty".