42253405404000 has 576 divisors, whose sum is σ = 161062310485440. Its totient is φ = 9655485235200.

The previous prime is 42253405403981. The next prime is 42253405404059. The reversal of 42253405404000 is 40450435224.

42253405404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3443909866 + ... + 3443922134.

It is an arithmetic number, because the mean of its divisors is an integer number (279622066815).

Almost surely, 2^{42253405404000} is an apocalyptic number.

42253405404000 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 42253405404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80531155242720).

42253405404000 is an abundant number, since it is smaller than the sum of its proper divisors (118808905081440).

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

42253405404000 is a wasteful number, since it uses less digits than its factorization.

42253405404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 18143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 42253405404000 its reverse (40450435224), we get a palindrome (42293855839224).

The spelling of 42253405404000 in words is "forty-two trillion, two hundred fifty-three billion, four hundred five million, four hundred four thousand".