442621650240 has 672 divisors, whose sum is σ = 1938530340864. Its totient is φ = 90014330880.

The previous prime is 442621650227. The next prime is 442621650253. The reversal of 442621650240 is 42056126244.

442621650240 is a `hidden beast` number, since 4 + 4 + 2 + 621 + 6 + 5 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442621650227) and next prime (442621650253).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×442621650240⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442621650195 and 442621650204.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10401487 + ... + 10443953.

Almost surely, 2^442621650240 is an apocalyptic number.

442621650240 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 442621650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969265170432).

442621650240 is an abundant number, since it is smaller than the sum of its proper divisors (1495908690624).

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

442621650240 is a wasteful number, since it uses less digits than its factorization.

442621650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42542 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 442621650240 its reverse (42056126244), we get a palindrome (484677776484).

The spelling of 442621650240 in words is "four hundred forty-two billion, six hundred twenty-one million, six hundred fifty thousand, two hundred forty".