442041945408 has 294 divisors, whose sum is σ = 1529892388266. Its totient is φ = 126297045504.

The previous prime is 442041945209. The next prime is 442041945413. The reversal of 442041945408 is 804549140244.

442041945408 is a `hidden beast` number, since 44 + 20 + 41 + 9 + 4 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414880268544 + 27161676864 = 644112^2 + 164808^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2189466 + ... + 2382822.

Almost surely, 2^442041945408 is an apocalyptic number.

442041945408 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 442041945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764946194133).

442041945408 is an abundant number, since it is smaller than the sum of its proper divisors (1087850442858).

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

442041945408 is an equidigital number, since it uses as much as digits as its factorization.

442041945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193401 (or 193369 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 442041945408 in words is "four hundred forty-two billion, forty-one million, nine hundred forty-five thousand, four hundred eight".