4435406045344 has 48 divisors (see below), whose sum is σ = 8756733945960. Its totient is φ = 2211476336640.

The previous prime is 4435406045339. The next prime is 4435406045347.

4435406045344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4186983548944 + 248422496400 = 2046212^2 + 498420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4435406045294 and 4435406045303.

It is not an unprimeable number, because it can be changed into a prime (4435406045347) 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, 55241452 + ... + 55321684.

Almost surely, 2^{4435406045344} is an apocalyptic number.

It is an amenable number.

4435406045344 is a deficient number, since it is larger than the sum of its proper divisors (4321327900616).

4435406045344 is a wasteful number, since it uses less digits than its factorization.

4435406045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85073 (or 85065 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 46.

The spelling of 4435406045344 in words is "four trillion, four hundred thirty-five billion, four hundred six million, forty-five thousand, three hundred forty-four".