42809058048 has 72 divisors (see below), whose sum is σ = 113966899200. Its totient is φ = 14265631744.

The previous prime is 42809058043. The next prime is 42809058049. The reversal of 42809058048 is 84085090824.

42809058048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42809057988 and 42809058006.

It is not an unprimeable number, because it can be changed into a prime (42809058043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4048993 + ... + 4059551.

It is an arithmetic number, because the mean of its divisors is an integer number (1582873600).

Almost surely, 2^42809058048 is an apocalyptic number.

42809058048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42809058048 is an abundant number, since it is smaller than the sum of its proper divisors (71157841152).

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

42809058048 is a wasteful number, since it uses less digits than its factorization.

42809058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857 (or 15843 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 42809058048 in words is "forty-two billion, eight hundred nine million, fifty-eight thousand, forty-eight".