42068576400 has 240 divisors, whose sum is σ = 143974713600. Its totient is φ = 10468846080.

The previous prime is 42068576383. The next prime is 42068576479. The reversal of 42068576400 is 467586024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513831 + ... + 1541369.

It is an arithmetic number, because the mean of its divisors is an integer number (599894640).

Almost surely, 2^42068576400 is an apocalyptic number.

42068576400 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 42068576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71987356800).

42068576400 is an abundant number, since it is smaller than the sum of its proper divisors (101906137200).

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

42068576400 is a wasteful number, since it uses less digits than its factorization.

42068576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27646 (or 27635 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 42068576400 in words is "forty-two billion, sixty-eight million, five hundred seventy-six thousand, four hundred".