442626641964 has 540 divisors, whose sum is σ = 1351042036344. Its totient is φ = 126261338112.

The previous prime is 442626641953. The next prime is 442626641971. The reversal of 442626641964 is 469146626244.

442626641964 is a `hidden beast` number, since 4 + 4 + 2 + 626 + 6 + 4 + 1 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442626641964.

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 179 ways as a sum of consecutive naturals, for example, 1313432004 + ... + 1313432340.

Almost surely, 2^442626641964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442626641964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675521018172).

442626641964 is an abundant number, since it is smaller than the sum of its proper divisors (908415394380).

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

442626641964 is a wasteful number, since it uses less digits than its factorization.

442626641964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 455 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 442626641964 in words is "four hundred forty-two billion, six hundred twenty-six million, six hundred forty-one thousand, nine hundred sixty-four".