42860296960 has 144 divisors (see below), whose sum is σ = 111896686944. Its totient is φ = 15634169856.

The previous prime is 42860296937. The next prime is 42860296967. The reversal of 42860296960 is 6969206824.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 42860296898 and 42860296907.

It is not an unprimeable number, because it can be changed into a prime (42860296967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365604 + ... + 1396636.

It is an arithmetic number, because the mean of its divisors is an integer number (777060326).

Almost surely, 2^42860296960 is an apocalyptic number.

42860296960 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 42860296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55948343472).

42860296960 is an abundant number, since it is smaller than the sum of its proper divisors (69036389984).

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

42860296960 is a wasteful number, since it uses less digits than its factorization.

42860296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31150 (or 31136 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 42860296960 in words is "forty-two billion, eight hundred sixty million, two hundred ninety-six thousand, nine hundred sixty".