442283708349888 has 672 divisors, whose sum is σ = 1333817120747520. Its totient is φ = 128847939010560.

The previous prime is 442283708349881. The next prime is 442283708350019. The reversal of 442283708349888 is 888943807382244.

It is a super-2 number, since 2×442283708349888² (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 (442283708349881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14473092753 + ... + 14473123311.

Almost surely, 2^{442283708349888} is an apocalyptic number.

442283708349888 is a gapful number since it is divisible by the number (48) 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 442283708349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666908560373760).

442283708349888 is an abundant number, since it is smaller than the sum of its proper divisors (891533412397632).

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

442283708349888 is a wasteful number, since it uses less digits than its factorization.

442283708349888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30873 (or 30844 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 78.

The spelling of 442283708349888 in words is "four hundred forty-two trillion, two hundred eighty-three billion, seven hundred eight million, three hundred forty-nine thousand, eight hundred eighty-eight".