404117874800640 has 5760 divisors, whose sum is σ = 2044313492981760. Its totient is φ = 74979252633600.

The previous prime is 404117874800611. The next prime is 404117874800657. The reversal of 404117874800640 is 46008478711404.

404117874800640 is a `hidden beast` number, since 4 + 0 + 4 + 117 + 8 + 7 + 480 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×404117874800640² (a number of 30 digits) contains 22 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 479 ways as a sum of consecutive naturals, for example, 180168467359 + ... + 180168469601.

It is an arithmetic number, because the mean of its divisors is an integer number (354915536976).

Almost surely, 2^{404117874800640} is an apocalyptic number.

404117874800640 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 404117874800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022156746490880).

404117874800640 is an abundant number, since it is smaller than the sum of its proper divisors (1640195618181120).

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

404117874800640 is a wasteful number, since it uses less digits than its factorization.

404117874800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 404117874800640 in words is "four hundred four trillion, one hundred seventeen billion, eight hundred seventy-four million, eight hundred thousand, six hundred forty".