404244100144440 has 192 divisors, whose sum is σ = 1420317109504800. Its totient is φ = 99364694823936.

The previous prime is 404244100144439. The next prime is 404244100144463. The reversal of 404244100144440 is 44441001442404.

404244100144440 is a `hidden beast` number, since 40 + 4 + 24 + 4 + 10 + 0 + 144 + 440 = 666.

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 = 404244100144395 and 404244100144404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798395767 + ... + 798901926.

Almost surely, 2^{404244100144440} is an apocalyptic number.

404244100144440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404244100144440 is an abundant number, since it is smaller than the sum of its proper divisors (1016073009360360).

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

404244100144440 is a wasteful number, since it uses less digits than its factorization.

404244100144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597297766 (or 1597297759 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 404244100144440 its reverse (44441001442404), we get a palindrome (448685101586844).

The spelling of 404244100144440 in words is "four hundred four trillion, two hundred forty-four billion, one hundred million, one hundred forty-four thousand, four hundred forty".