404893420512 has 96 divisors (see below), whose sum is σ = 1220031735552. Its totient is φ = 115174170624.

The previous prime is 404893420501. The next prime is 404893420517. The reversal of 404893420512 is 215024398404.

It is a happy number.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404893420517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174593 + ... + 1479680.

It is an arithmetic number, because the mean of its divisors is an integer number (12708663912).

Almost surely, 2^404893420512 is an apocalyptic number.

404893420512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404893420512 is an abundant number, since it is smaller than the sum of its proper divisors (815138315040).

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

404893420512 is a wasteful number, since it uses less digits than its factorization.

404893420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654520 (or 2654512 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 404893420512 in words is "four hundred four billion, eight hundred ninety-three million, four hundred twenty thousand, five hundred twelve".