42810048000 has 240 divisors, whose sum is σ = 154195840656. Its totient is φ = 11415859200.

The previous prime is 42810047963. The next prime is 42810048101. The reversal of 42810048000 is 84001824.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538839 + ... + 613161.

Almost surely, 2^42810048000 is an apocalyptic number.

42810048000 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 42810048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77097920328).

42810048000 is an abundant number, since it is smaller than the sum of its proper divisors (111385792656).

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

42810048000 is an equidigital number, since it uses as much as digits as its factorization.

42810048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74362 (or 74333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 42810048000 its reverse (84001824), we get a palindrome (42894049824).

It can be divided in two parts, 428100 and 48000, that added together give a square (476100 = 690²).

The spelling of 42810048000 in words is "forty-two billion, eight hundred ten million, forty-eight thousand".