442201340233400 has 96 divisors (see below), whose sum is σ = 1122853600627200. Its totient is φ = 160618379644800.

The previous prime is 442201340233399. The next prime is 442201340233417. The reversal of 442201340233400 is 4332043102244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111874280 + ... + 115759479.

It is an arithmetic number, because the mean of its divisors is an integer number (11696391673200).

Almost surely, 2^{442201340233400} is an apocalyptic number.

442201340233400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442201340233400 is an abundant number, since it is smaller than the sum of its proper divisors (680652260393800).

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

442201340233400 is a wasteful number, since it uses less digits than its factorization.

442201340233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227634669 (or 227634660 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 442201340233400 its reverse (4332043102244), we get a palindrome (446533383335644).

The spelling of 442201340233400 in words is "four hundred forty-two trillion, two hundred one billion, three hundred forty million, two hundred thirty-three thousand, four hundred".