442431314342121 has 64 divisors (see below), whose sum is σ = 657225217119744. Its totient is φ = 262995408230400.

The previous prime is 442431314342107. The next prime is 442431314342131. The reversal of 442431314342121 is 121243413134244.

It is not a de Polignac number, because 442431314342121 - 2⁷ = 442431314341993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 442431314342121.

It is not an unprimeable number, because it can be changed into a prime (442431314342131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866215611 + ... + 866726223.

It is an arithmetic number, because the mean of its divisors is an integer number (10269144017496).

Almost surely, 2^{442431314342121} is an apocalyptic number.

442431314342121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442431314342121 is a deficient number, since it is larger than the sum of its proper divisors (214793902777623).

442431314342121 is a wasteful number, since it uses less digits than its factorization.

442431314342121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516034.

The product of its digits is 221184, while the sum is 39.

Adding to 442431314342121 its reverse (121243413134244), we get a palindrome (563674727476365).

The spelling of 442431314342121 in words is "four hundred forty-two trillion, four hundred thirty-one billion, three hundred fourteen million, three hundred forty-two thousand, one hundred twenty-one".