404064460800 has 2688 divisors, whose sum is σ = 2020440683520. Its totient is φ = 76441190400.

The previous prime is 404064460783. The next prime is 404064460841. The reversal of 404064460800 is 8064460404.

404064460800 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 6 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5535129564 + ... + 5535129636.

It is an arithmetic number, because the mean of its divisors is an integer number (751652040).

Almost surely, 2^404064460800 is an apocalyptic number.

404064460800 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 404064460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010220341760).

404064460800 is an abundant number, since it is smaller than the sum of its proper divisors (1616376222720).

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

404064460800 is a wasteful number, since it uses less digits than its factorization.

404064460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 404064460800 in words is "four hundred four billion, sixty-four million, four hundred sixty thousand, eight hundred".