442420040004400 has 60 divisors (see below), whose sum is σ = 1064296349901400. Its totient is φ = 176737888419840.

The previous prime is 442420040004379. The next prime is 442420040004419. The reversal of 442420040004400 is 4400040024244.

It is a super-3 number, since 3×442420040004400³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718840710 + ... + 719455909.

Almost surely, 2^{442420040004400} is an apocalyptic number.

442420040004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442420040004400 is an abundant number, since it is smaller than the sum of its proper divisors (621876309897000).

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

442420040004400 is a wasteful number, since it uses less digits than its factorization.

442420040004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438297406 (or 1438297395 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 442420040004400 its reverse (4400040024244), we get a palindrome (446820080028644).

The spelling of 442420040004400 in words is "four hundred forty-two trillion, four hundred twenty billion, forty million, four thousand, four hundred".