42554944960 has 280 divisors, whose sum is σ = 115455070080. Its totient is φ = 14924236800.

The previous prime is 42554944921. The next prime is 42554944973. The reversal of 42554944960 is 6944945524.

42554944960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42554944898 and 42554944907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145238574 + ... + 145238866.

It is an arithmetic number, because the mean of its divisors is an integer number (412339536).

Almost surely, 2^42554944960 is an apocalyptic number.

42554944960 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 42554944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727535040).

42554944960 is an abundant number, since it is smaller than the sum of its proper divisors (72900125120).

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

42554944960 is an equidigital number, since it uses as much as digits as its factorization.

42554944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 42554944960 in words is "forty-two billion, five hundred fifty-four million, nine hundred forty-four thousand, nine hundred sixty".