42841146474960 has 80 divisors (see below), whose sum is σ = 132810401673600. Its totient is φ = 11424060771840.

The previous prime is 42841146474911. The next prime is 42841146474961. The reversal of 42841146474960 is 6947464114824.

42841146474960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 42841146474894 and 42841146474903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42841146474961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9442941 + ... + 13223139.

It is an arithmetic number, because the mean of its divisors is an integer number (1660130020920).

Almost surely, 2^{42841146474960} is an apocalyptic number.

42841146474960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42841146474960 is an abundant number, since it is smaller than the sum of its proper divisors (89969255198640).

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

42841146474960 is a wasteful number, since it uses less digits than its factorization.

42841146474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827436 (or 3827430 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 42841146474960 in words is "forty-two trillion, eight hundred forty-one billion, one hundred forty-six million, four hundred seventy-four thousand, nine hundred sixty".