4040428464896 has 72 divisors (see below), whose sum is σ = 8253691131840. Its totient is φ = 1972979721216.

The previous prime is 4040428464893. The next prime is 4040428464913. The reversal of 4040428464896 is 6984648240404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4040428464893) 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, 108773495 + ... + 108810633.

Almost surely, 2^{4040428464896} 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 4040428464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126845565920).

4040428464896 is an abundant number, since it is smaller than the sum of its proper divisors (4213262666944).

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

4040428464896 is an equidigital number, since it uses as much as digits as its factorization.

4040428464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47081 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 59.

The spelling of 4040428464896 in words is "four trillion, forty billion, four hundred twenty-eight million, four hundred sixty-four thousand, eight hundred ninety-six".