42814848960 has 672 divisors, whose sum is σ = 168302464512. Its totient is φ = 9913466880.

The previous prime is 42814848949. The next prime is 42814848971. The reversal of 42814848960 is 6984841824.

It is a happy number.

42814848960 is a `hidden beast` number, since 4 + 2 + 81 + 484 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42814848949) and next prime (42814848971).

It is a super-2 number, since 2×42814848960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42814848897 and 42814848906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42943182 + ... + 42944178.

It is an arithmetic number, because the mean of its divisors is an integer number (250450096).

Almost surely, 2^42814848960 is an apocalyptic number.

42814848960 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 42814848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84151232256).

42814848960 is an abundant number, since it is smaller than the sum of its proper divisors (125487615552).

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

42814848960 is a wasteful number, since it uses less digits than its factorization.

42814848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 42814848960 in words is "forty-two billion, eight hundred fourteen million, eight hundred forty-eight thousand, nine hundred sixty".