404328480192 has 1120 divisors, whose sum is σ = 1528340352000. Its totient is φ = 102873120768.

The previous prime is 404328480121. The next prime is 404328480203. The reversal of 404328480192 is 291084823404.

404328480192 is a `hidden beast` number, since 40 + 43 + 2 + 8 + 480 + 1 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2031801309 + ... + 2031801507.

It is an arithmetic number, because the mean of its divisors is an integer number (1364589600).

Almost surely, 2^404328480192 is an apocalyptic number.

404328480192 is a gapful number since it is divisible by the number (42) 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 404328480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764170176000).

404328480192 is an abundant number, since it is smaller than the sum of its proper divisors (1124011871808).

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

404328480192 is a wasteful number, since it uses less digits than its factorization.

404328480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 404328480192 in words is "four hundred four billion, three hundred twenty-eight million, four hundred eighty thousand, one hundred ninety-two".