42948956160 has 832 divisors, whose sum is σ = 174377871360. Its totient is φ = 9926737920.

The previous prime is 42948956153. The next prime is 42948956161. The reversal of 42948956160 is 6165984924.

42948956160 is a `hidden beast` number, since 42 + 9 + 489 + 5 + 61 + 60 = 666.

It is a super-2 number, since 2×42948956160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42948956097 and 42948956106.

It is not an unprimeable number, because it can be changed into a prime (42948956161) 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 63 ways as a sum of consecutive naturals, for example, 139898727 + ... + 139899033.

Almost surely, 2^42948956160 is an apocalyptic number.

42948956160 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 42948956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87188935680).

42948956160 is an abundant number, since it is smaller than the sum of its proper divisors (131428915200).

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

42948956160 is a wasteful number, since it uses less digits than its factorization.

42948956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 42948956160 in words is "forty-two billion, nine hundred forty-eight million, nine hundred fifty-six thousand, one hundred sixty".