404949916800 has 576 divisors, whose sum is σ = 1697585722560. Its totient is φ = 90617241600.

The previous prime is 404949916769. The next prime is 404949916859. The reversal of 404949916800 is 8619949404.

It is a happy number.

404949916800 is a `hidden beast` number, since 4 + 0 + 494 + 9 + 91 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4069237 + ... + 4167563.

It is an arithmetic number, because the mean of its divisors is an integer number (2947197435).

Almost surely, 2^404949916800 is an apocalyptic number.

404949916800 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 404949916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848792861280).

404949916800 is an abundant number, since it is smaller than the sum of its proper divisors (1292635805760).

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

404949916800 is a wasteful number, since it uses less digits than its factorization.

404949916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98381 (or 98361 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 404949916800 in words is "four hundred four billion, nine hundred forty-nine million, nine hundred sixteen thousand, eight hundred".