42261004800 has 840 divisors, whose sum is σ = 179689409856. Its totient is φ = 9644728320.

The previous prime is 42261004693. The next prime is 42261004801. The reversal of 42261004800 is 840016224.

42261004800 is a `hidden beast` number, since 4 + 2 + 2 + 610 + 0 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42261004801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65318077 + ... + 65318723.

Almost surely, 2^42261004800 is an apocalyptic number.

42261004800 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 42261004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89844704928).

42261004800 is an abundant number, since it is smaller than the sum of its proper divisors (137428405056).

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

42261004800 is an frugal number, since it uses more digits than its factorization.

42261004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 42261004800 in words is "forty-two billion, two hundred sixty-one million, four thousand, eight hundred".