4444000404040 has 32 divisors (see below), whose sum is σ = 10162918962360. Its totient is φ = 1748459174400.

The previous prime is 4444000403911. The next prime is 4444000404043. The reversal of 4444000404040 is 404040004444.

It can be written as a sum of positive squares in 4 ways, for example, as 3449436994756 + 994563409284 = 1857266^2 + 997278^2 .

It is a super-2 number, since 2×4444000404040² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4444000404043) 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, 910653381 + ... + 910658260.

Almost surely, 2^{4444000404040} is an apocalyptic number.

4444000404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444000404040 is an abundant number, since it is smaller than the sum of its proper divisors (5718918558320).

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

4444000404040 is a wasteful number, since it uses less digits than its factorization.

4444000404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821311713 (or 1821311709 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4444000404040 its reverse (404040004444), we get a palindrome (4848040408484).

The spelling of 4444000404040 in words is "four trillion, four hundred forty-four billion, four hundred four thousand, forty".