404030431243440 has 240 divisors, whose sum is σ = 1372376449357056. Its totient is φ = 106513304832000.

The previous prime is 404030431243429. The next prime is 404030431243457. The reversal of 404030431243440 is 44342134030404.

404030431243440 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 304 + 3 + 1 + 2 + 4 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 404030431243395 and 404030431243404.

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, 43865217 + ... + 52270623.

Almost surely, 2^{404030431243440} is an apocalyptic number.

404030431243440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404030431243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686188224678528).

404030431243440 is an abundant number, since it is smaller than the sum of its proper divisors (968346018113616).

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

404030431243440 is a wasteful number, since it uses less digits than its factorization.

404030431243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406188 (or 8406179 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 404030431243440 its reverse (44342134030404), we get a palindrome (448372565273844).

The spelling of 404030431243440 in words is "four hundred four trillion, thirty billion, four hundred thirty-one million, two hundred forty-three thousand, four hundred forty".