443131404404040 has 384 divisors, whose sum is σ = 1597865677948800. Its totient is φ = 105596123996160.

The previous prime is 443131404404027. The next prime is 443131404404119. The reversal of 443131404404040 is 40404404131344.

443131404404040 is a `hidden beast` number, since 4 + 4 + 3 + 131 + 4 + 0 + 440 + 40 + 40 = 666.

It is a super-2 number, since 2×443131404404040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 443131404403986 and 443131404404004.

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, 3017854464 + ... + 3018001296.

It is an arithmetic number, because the mean of its divisors is an integer number (4161108536325).

Almost surely, 2^{443131404404040} is an apocalyptic number.

443131404404040 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 443131404404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798932838974400).

443131404404040 is an abundant number, since it is smaller than the sum of its proper divisors (1154734273544760).

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

443131404404040 is a wasteful number, since it uses less digits than its factorization.

443131404404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159837 (or 159830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 443131404404040 its reverse (40404404131344), we get a palindrome (483535808535384).

The spelling of 443131404404040 in words is "four hundred forty-three trillion, one hundred thirty-one billion, four hundred four million, four hundred four thousand, forty".