443402414424040 has 128 divisors (see below), whose sum is σ = 1058262403554720. Its totient is φ = 166624432128000.

The previous prime is 443402414423873. The next prime is 443402414424041. The reversal of 443402414424040 is 40424414204344.

It can be written as a sum of positive squares in 16 ways, for example, as 226175671783044 + 217226742640996 = 15039138^2 + 14738614^2 .

It is a super-2 number, since 2×443402414424040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 443402414423984 and 443402414424002.

It is not an unprimeable number, because it can be changed into a prime (443402414424041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751561870 + ... + 2751723010.

Almost surely, 2^{443402414424040} is an apocalyptic number.

443402414424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443402414424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529131201777360).

443402414424040 is an abundant number, since it is smaller than the sum of its proper divisors (614859989130680).

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

443402414424040 is a wasteful number, since it uses less digits than its factorization.

443402414424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168503 (or 168499 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 443402414424040 its reverse (40424414204344), we get a palindrome (483826828628384).

The spelling of 443402414424040 in words is "four hundred forty-three trillion, four hundred two billion, four hundred fourteen million, four hundred twenty-four thousand, forty".