42268993976800 has 288 divisors, whose sum is σ = 110286338097600. Its totient is φ = 15763581173760.

The previous prime is 42268993976767. The next prime is 42268993976819. The reversal of 42268993976800 is 867939986224.

42268993976800 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 47 ways as a sum of consecutive naturals, for example, 3271840741 + ... + 3271853659.

It is an arithmetic number, because the mean of its divisors is an integer number (382938673950).

Almost surely, 2^{42268993976800} is an apocalyptic number.

42268993976800 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 42268993976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55143169048800).

42268993976800 is an abundant number, since it is smaller than the sum of its proper divisors (68017344120800).

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

42268993976800 is a wasteful number, since it uses less digits than its factorization.

42268993976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 73.

The spelling of 42268993976800 in words is "forty-two trillion, two hundred sixty-eight billion, nine hundred ninety-three million, nine hundred seventy-six thousand, eight hundred".