442431100010406 has 64 divisors (see below), whose sum is σ = 953641709608896. Its totient is φ = 136030783488000.

The previous prime is 442431100010299. The next prime is 442431100010407. The reversal of 442431100010406 is 604010001134244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442431100010407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028405026 + ... + 1028835146.

It is an arithmetic number, because the mean of its divisors is an integer number (14900651712639).

Almost surely, 2^{442431100010406} is an apocalyptic number.

442431100010406 is an abundant number, since it is smaller than the sum of its proper divisors (511210609598490).

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

442431100010406 is a wasteful number, since it uses less digits than its factorization.

442431100010406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439977.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 442431100010406 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, ten thousand, four hundred six".