404828686080 has 2304 divisors, whose sum is σ = 1879041024000. Its totient is φ = 81935400960.

The previous prime is 404828686061. The next prime is 404828686103. The reversal of 404828686080 is 80686828404.

404828686080 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 28 + 6 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×404828686080³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5701812445 + ... + 5701812515.

It is an arithmetic number, because the mean of its divisors is an integer number (815556000).

Almost surely, 2^404828686080 is an apocalyptic number.

404828686080 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 404828686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939520512000).

404828686080 is an abundant number, since it is smaller than the sum of its proper divisors (1474212337920).

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

404828686080 is a wasteful number, since it uses less digits than its factorization.

404828686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 404828686080 in words is "four hundred four billion, eight hundred twenty-eight million, six hundred eighty-six thousand, eighty".