42223556897280 has 960 divisors, whose sum is σ = 169312603299840. Its totient is φ = 9959291781120.

The previous prime is 42223556897177. The next prime is 42223556897287. The reversal of 42223556897280 is 8279865532224.

42223556897280 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 556 + 8 + 9 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (42223556897287) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 309382017 + ... + 309518463.

It is an arithmetic number, because the mean of its divisors is an integer number (176367295104).

Almost surely, 2^{42223556897280} is an apocalyptic number.

42223556897280 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 42223556897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84656301649920).

42223556897280 is an abundant number, since it is smaller than the sum of its proper divisors (127089046402560).

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

42223556897280 is a wasteful number, since it uses less digits than its factorization.

42223556897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136538 (or 136505 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 42223556897280 in words is "forty-two trillion, two hundred twenty-three billion, five hundred fifty-six million, eight hundred ninety-seven thousand, two hundred eighty".