404323782420960 has 96 divisors (see below), whose sum is σ = 1415133238488480. Its totient is φ = 107819675311104.

The previous prime is 404323782420947. The next prime is 404323782421007. The reversal of 404323782420960 is 69024287323404.

404323782420960 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 2 + 378 + 2 + 4 + 209 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 404323782420897 and 404323782420906.

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 15 ways as a sum of consecutive naturals, for example, 46796729757 + ... + 46796738396.

It is an arithmetic number, because the mean of its divisors is an integer number (14740971234255).

Almost surely, 2^{404323782420960} is an apocalyptic number.

404323782420960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404323782420960 is an abundant number, since it is smaller than the sum of its proper divisors (1010809456067520).

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

404323782420960 is a wasteful number, since it uses less digits than its factorization.

404323782420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93593468177 (or 93593468163 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 404323782420960 in words is "four hundred four trillion, three hundred twenty-three billion, seven hundred eighty-two million, four hundred twenty thousand, nine hundred sixty".