404649716993392 has 120 divisors (see below), whose sum is σ = 891819033366240. Its totient is φ = 176787855659520.

The previous prime is 404649716993371. The next prime is 404649716993393. The reversal of 404649716993392 is 293399617946404.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404649716993393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90090717 + ... + 94475587.

It is an arithmetic number, because the mean of its divisors is an integer number (7431825278052).

Almost surely, 2^{404649716993392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404649716993392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445909516683120).

404649716993392 is an abundant number, since it is smaller than the sum of its proper divisors (487169316372848).

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

404649716993392 is a wasteful number, since it uses less digits than its factorization.

404649716993392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386159 (or 4386134 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 76.

The spelling of 404649716993392 in words is "four hundred four trillion, six hundred forty-nine billion, seven hundred sixteen million, nine hundred ninety-three thousand, three hundred ninety-two".