442354434135300 has 216 divisors, whose sum is σ = 1424102048401032. Its totient is φ = 114765569280000.

The previous prime is 442354434135283. The next prime is 442354434135329. The reversal of 442354434135300 is 3531434453244.

442354434135300 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 54 + 434 + 135 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28452580137216 + 413901853998084 = 5334096^2 + 20344578^2 .

It is a super-2 number, since 2×442354434135300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 520420650 + ... + 521269950.

Almost surely, 2^{442354434135300} 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 442354434135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712051024200516).

442354434135300 is an abundant number, since it is smaller than the sum of its proper divisors (981747614265732).

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

442354434135300 is a wasteful number, since it uses less digits than its factorization.

442354434135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864999 (or 864989 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 442354434135300 its reverse (3531434453244), we get a palindrome (445885868588544).

The spelling of 442354434135300 in words is "four hundred forty-two trillion, three hundred fifty-four billion, four hundred thirty-four million, one hundred thirty-five thousand, three hundred".