42028546560 has 1440 divisors, whose sum is σ = 187617741696. Its totient is φ = 7947878400.

The previous prime is 42028546519. The next prime is 42028546589. The reversal of 42028546560 is 6564582024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 591951325 + ... + 591951395.

Almost surely, 2^42028546560 is an apocalyptic number.

42028546560 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 42028546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93808870848).

42028546560 is an abundant number, since it is smaller than the sum of its proper divisors (145589195136).

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

42028546560 is a wasteful number, since it uses less digits than its factorization.

42028546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 42028546560 in words is "forty-two billion, twenty-eight million, five hundred forty-six thousand, five hundred sixty".