42261603552000 has 1728 divisors, whose sum is σ = 188072293054464. Its totient is φ = 9239530291200.

The previous prime is 42261603551971. The next prime is 42261603552139. The reversal of 42261603552000 is 25530616224.

42261603552000 is a `hidden beast` number, since 4 + 2 + 2 + 616 + 0 + 35 + 5 + 2 + 0 + 0 + 0 = 666.

42261603552000 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 (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1251919122 + ... + 1251952878.

Almost surely, 2^{42261603552000} is an apocalyptic number.

42261603552000 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 42261603552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94036146527232).

42261603552000 is an abundant number, since it is smaller than the sum of its proper divisors (145810689502464).

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

42261603552000 is an equidigital number, since it uses as much as digits as its factorization.

42261603552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33833 (or 33797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42261603552000 in words is "forty-two trillion, two hundred sixty-one billion, six hundred three million, five hundred fifty-two thousand".