442420031441440 has 96 divisors (see below), whose sum is σ = 1125628367880240. Its totient is φ = 163353679233024.

The previous prime is 442420031441407. The next prime is 442420031441449. The reversal of 442420031441440 is 44144130024244.

It can be written as a sum of positive squares in 8 ways, for example, as 5321898341776 + 437098133099664 = 2306924^2 + 20906892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442420031441440.

It is not an unprimeable number, because it can be changed into a prime (442420031441449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257765616 + ... + 259476304.

Almost surely, 2^{442420031441440} is an apocalyptic number.

442420031441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442420031441440 is an abundant number, since it is smaller than the sum of its proper divisors (683208336438800).

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

442420031441440 is a wasteful number, since it uses less digits than its factorization.

442420031441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835054 (or 1835046 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 442420031441440 its reverse (44144130024244), we get a palindrome (486564161465684).

The spelling of 442420031441440 in words is "four hundred forty-two trillion, four hundred twenty billion, thirty-one million, four hundred forty-one thousand, four hundred forty".