443828400040 has 32 divisors (see below), whose sum is σ = 1000838025000. Its totient is φ = 177135960064.

The previous prime is 443828400019. The next prime is 443828400047. The reversal of 443828400040 is 40004828344.

It can be written as a sum of positive squares in 4 ways, for example, as 228738366756 + 215090033284 = 478266^2 + 463778^2 .

It is not an unprimeable number, because it can be changed into a prime (443828400047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12338065 + ... + 12373984.

Almost surely, 2^443828400040 is an apocalyptic number.

443828400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443828400040 is an abundant number, since it is smaller than the sum of its proper divisors (557009624960).

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

443828400040 is a wasteful number, since it uses less digits than its factorization.

443828400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712509 (or 24712505 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 443828400040 in words is "four hundred forty-three billion, eight hundred twenty-eight million, four hundred thousand, forty".