404640046404 has 36 divisors (see below), whose sum is σ = 1115825583600. Its totient is φ = 122618195760.

The previous prime is 404640046361. The next prime is 404640046409.

404640046404 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 4 + 0 + 0 + 4 + 640 + 4 = 666.

404640046404 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404640046409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510908754 + ... + 510909545.

It is an arithmetic number, because the mean of its divisors is an integer number (30995155100).

Almost surely, 2^404640046404 is an apocalyptic number.

404640046404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404640046404 is an abundant number, since it is smaller than the sum of its proper divisors (711185537196).

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

404640046404 is a wasteful number, since it uses less digits than its factorization.

404640046404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021818320 (or 1021818315 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 404640046404 in words is "four hundred four billion, six hundred forty million, forty-six thousand, four hundred four".