442018570855680 has 4320 divisors, whose sum is σ = 2015960479948800. Its totient is φ = 91650598502400.

The previous prime is 442018570855601. The next prime is 442018570855681. The reversal of 442018570855680 is 86558075810244.

442018570855680 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 1 + 8 + 5 + 70 + 8 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442018570855681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1266528856146 + ... + 1266528856494.

Almost surely, 2^{442018570855680} is an apocalyptic number.

442018570855680 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 442018570855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007980239974400).

442018570855680 is an abundant number, since it is smaller than the sum of its proper divisors (1573941909093120).

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

442018570855680 is a wasteful number, since it uses less digits than its factorization.

442018570855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 442018570855680 in words is "four hundred forty-two trillion, eighteen billion, five hundred seventy million, eight hundred fifty-five thousand, six hundred eighty".