442431140311020 has 288 divisors, whose sum is σ = 1456508522907648. Its totient is φ = 98296498944000.

The previous prime is 442431140310997. The next prime is 442431140311093. The reversal of 442431140311020 is 20113041134244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190175230 + ... + 192487610.

It is an arithmetic number, because the mean of its divisors is an integer number (5057321260096).

Almost surely, 2^{442431140311020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442431140311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728254261453824).

442431140311020 is an abundant number, since it is smaller than the sum of its proper divisors (1014077382596628).

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

442431140311020 is a wasteful number, since it uses less digits than its factorization.

442431140311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312753 (or 2312710 counting only the distinct ones).

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

Adding to 442431140311020 its reverse (20113041134244), we get a palindrome (462544181445264).

The spelling of 442431140311020 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred forty million, three hundred eleven thousand, twenty".