404678657940480 has 4928 divisors, whose sum is σ = 1892694725784576. Its totient is φ = 80549904384000.

The previous prime is 404678657940451. The next prime is 404678657940497. The reversal of 404678657940480 is 84049756876404.

404678657940480 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 7 + 8 + 6 + 57 + 94 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 404678657940399 and 404678657940408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 718789800679 + ... + 718789801241.

Almost surely, 2^{404678657940480} is an apocalyptic number.

404678657940480 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 404678657940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946347362892288).

404678657940480 is an abundant number, since it is smaller than the sum of its proper divisors (1488016067844096).

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

404678657940480 is a wasteful number, since it uses less digits than its factorization.

404678657940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 404678657940480 in words is "four hundred four trillion, six hundred seventy-eight billion, six hundred fifty-seven million, nine hundred forty thousand, four hundred eighty".