404440245440 has 448 divisors, whose sum is σ = 1267577856000. Its totient is φ = 121701888000.

The previous prime is 404440245439. The next prime is 404440245463. The reversal of 404440245440 is 44542044404.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 404440245440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35007665 + ... + 35019215.

Almost surely, 2^404440245440 is an apocalyptic number.

404440245440 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 404440245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633788928000).

404440245440 is an abundant number, since it is smaller than the sum of its proper divisors (863137610560).

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

404440245440 is a wasteful number, since it uses less digits than its factorization.

404440245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 404440245440 its reverse (44542044404), we get a palindrome (448982289844).

The spelling of 404440245440 in words is "four hundred four billion, four hundred forty million, two hundred forty-five thousand, four hundred forty".