442637969449056 has 384 divisors, whose sum is σ = 1281931207925760. Its totient is φ = 133333375795200.

The previous prime is 442637969448989. The next prime is 442637969449057. The reversal of 442637969449056 is 650944969736244.

It is a super-2 number, since 2×442637969449056² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442637969449057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532857396 + ... + 533687436.

It is an arithmetic number, because the mean of its divisors is an integer number (3338362520640).

Almost surely, 2^{442637969449056} 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 442637969449056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640965603962880).

442637969449056 is an abundant number, since it is smaller than the sum of its proper divisors (839293238476704).

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

442637969449056 is a wasteful number, since it uses less digits than its factorization.

442637969449056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830318 (or 830310 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 78.

The spelling of 442637969449056 in words is "four hundred forty-two trillion, six hundred thirty-seven billion, nine hundred sixty-nine million, four hundred forty-nine thousand, fifty-six".