42288856678800 has 720 divisors, whose sum is σ = 156057959575440. Its totient is φ = 10584359976960.

The previous prime is 42288856678781. The next prime is 42288856678907. The reversal of 42288856678800 is 887665888224.

It is a happy number.

42288856678800 is a `hidden beast` number, since 422 + 8 + 8 + 8 + 56 + 6 + 78 + 80 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 17468253686016 + 24820602992784 = 4179504^2 + 4982028^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4932791314 + ... + 4932799886.

It is an arithmetic number, because the mean of its divisors is an integer number (216747166077).

Almost surely, 2^{42288856678800} is an apocalyptic number.

42288856678800 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 42288856678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78028979787720).

42288856678800 is an abundant number, since it is smaller than the sum of its proper divisors (113769102896640).

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

42288856678800 is a wasteful number, since it uses less digits than its factorization.

42288856678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 42288856678800 in words is "forty-two trillion, two hundred eighty-eight billion, eight hundred fifty-six million, six hundred seventy-eight thousand, eight hundred".