442231240132400 has 30 divisors (see below), whose sum is σ = 1062460554419052. Its totient is φ = 176892496052800.

The previous prime is 442231240132309. The next prime is 442231240132433. The reversal of 442231240132400 is 4231042132244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552789049766 + ... + 552789050565.

Almost surely, 2^{442231240132400} is an apocalyptic number.

442231240132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442231240132400 is an abundant number, since it is smaller than the sum of its proper divisors (620229314286652).

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

442231240132400 is a wasteful number, since it uses less digits than its factorization.

442231240132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105578100349 (or 1105578100338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442231240132400 its reverse (4231042132244), we get a palindrome (446462282264644).

The spelling of 442231240132400 in words is "four hundred forty-two trillion, two hundred thirty-one billion, two hundred forty million, one hundred thirty-two thousand, four hundred".