442431044203120 has 160 divisors (see below), whose sum is σ = 1265853130214400. Its totient is φ = 140347873579008.

The previous prime is 442431044203091. The next prime is 442431044203217. The reversal of 442431044203120 is 21302440134244.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393284500 + ... + 394407859.

It is an arithmetic number, because the mean of its divisors is an integer number (7911582063840).

Almost surely, 2^{442431044203120} is an apocalyptic number.

442431044203120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442431044203120 is an abundant number, since it is smaller than the sum of its proper divisors (823422086011280).

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

442431044203120 is a wasteful number, since it uses less digits than its factorization.

442431044203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787692455 (or 787692449 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 442431044203120 its reverse (21302440134244), we get a palindrome (463733484337364).

The spelling of 442431044203120 in words is "four hundred forty-two trillion, four hundred thirty-one billion, forty-four million, two hundred three thousand, one hundred twenty".