42789767456 has 96 divisors (see below), whose sum is σ = 93574051200. Its totient is φ = 19169187840.

The previous prime is 42789767441. The next prime is 42789767561. The reversal of 42789767456 is 65476798724.

It is a junction number, because it is equal to n+sod(n) for n = 42789767392 and 42789767401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227386 + ... + 1261766.

It is an arithmetic number, because the mean of its divisors is an integer number (974729700).

Almost surely, 2^42789767456 is an apocalyptic number.

42789767456 is a gapful number since it is divisible by the number (46) 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 42789767456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46787025600).

42789767456 is an abundant number, since it is smaller than the sum of its proper divisors (50784283744).

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

42789767456 is a wasteful number, since it uses less digits than its factorization.

42789767456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34522 (or 34514 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 65.

The spelling of 42789767456 in words is "forty-two billion, seven hundred eighty-nine million, seven hundred sixty-seven thousand, four hundred fifty-six".