404010434423440 has 80 divisors (see below), whose sum is σ = 1011584542789296. Its totient is φ = 149172409497600.

The previous prime is 404010434423437. The next prime is 404010434423459. The reversal of 404010434423440 is 44324434010404.

It can be written as a sum of positive squares in 8 ways, for example, as 99757906700544 + 304252527722896 = 9987888^2 + 17442836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×404010434423440² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404010434423440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269424550 + ... + 270919930.

Almost surely, 2^{404010434423440} is an apocalyptic number.

404010434423440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404010434423440 is an abundant number, since it is smaller than the sum of its proper divisors (607574108365856).

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

404010434423440 is a wasteful number, since it uses less digits than its factorization.

404010434423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755188 (or 1755182 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 404010434423440 its reverse (44324434010404), we get a palindrome (448334868433844).

The spelling of 404010434423440 in words is "four hundred four trillion, ten billion, four hundred thirty-four million, four hundred twenty-three thousand, four hundred forty".