404855712450 has 144 divisors (see below), whose sum is σ = 1243953524736. Its totient is φ = 92474899200.

The previous prime is 404855712427. The next prime is 404855712479. The reversal of 404855712450 is 54217558404.

404855712450 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 5 + 571 + 24 + 50 = 666.

404855712450 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 404855712396 and 404855712405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4621759 + ... + 4708541.

It is an arithmetic number, because the mean of its divisors is an integer number (8638566144).

Almost surely, 2^404855712450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404855712450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621976762368).

404855712450 is an abundant number, since it is smaller than the sum of its proper divisors (839097812286).

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

404855712450 is a wasteful number, since it uses less digits than its factorization.

404855712450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88289 (or 88281 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 404855712450 in words is "four hundred four billion, eight hundred fifty-five million, seven hundred twelve thousand, four hundred fifty".