42705877920 has 96 divisors (see below), whose sum is σ = 139162302720. Its totient is φ = 10995532800.

The previous prime is 42705877919. The next prime is 42705877927. The reversal of 42705877920 is 2977850724.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42705877927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520056 + ... + 1547895.

It is an arithmetic number, because the mean of its divisors is an integer number (1449607320).

Almost surely, 2^42705877920 is an apocalyptic number.

42705877920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42705877920 is an abundant number, since it is smaller than the sum of its proper divisors (96456424800).

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

42705877920 is a wasteful number, since it uses less digits than its factorization.

42705877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067998 (or 3067990 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 42705877920 in words is "forty-two billion, seven hundred five million, eight hundred seventy-seven thousand, nine hundred twenty".