404849442816 has 960 divisors, whose sum is σ = 1506128601600. Its totient is φ = 104639496192.

The previous prime is 404849442763. The next prime is 404849442827. The reversal of 404849442816 is 618244948404.

404849442816 is a `hidden beast` number, since 40 + 4 + 84 + 9 + 442 + 81 + 6 = 666.

It is a super-3 number, since 3×404849442816³ (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582738376 + ... + 3582738488.

It is an arithmetic number, because the mean of its divisors is an integer number (1568883960).

Almost surely, 2^404849442816 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 404849442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753064300800).

404849442816 is an abundant number, since it is smaller than the sum of its proper divisors (1101279158784).

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

404849442816 is a wasteful number, since it uses less digits than its factorization.

404849442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 404849442816 in words is "four hundred four billion, eight hundred forty-nine million, four hundred forty-two thousand, eight hundred sixteen".