404480469331440 has 480 divisors, whose sum is σ = 1381071742941696. Its totient is φ = 106065488517120.

The previous prime is 404480469331427. The next prime is 404480469331469. The reversal of 404480469331440 is 44133964084404.

404480469331440 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 8 + 0 + 469 + 33 + 144 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82496524029 + ... + 82496528931.

Almost surely, 2^{404480469331440} is an apocalyptic number.

404480469331440 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 404480469331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690535871470848).

404480469331440 is an abundant number, since it is smaller than the sum of its proper divisors (976591273610256).

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

404480469331440 is a wasteful number, since it uses less digits than its factorization.

404480469331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 404480469331440 in words is "four hundred four trillion, four hundred eighty billion, four hundred sixty-nine million, three hundred thirty-one thousand, four hundred forty".