404222547456 has 960 divisors, whose sum is σ = 1487104819200. Its totient is φ = 105020375040.

The previous prime is 404222547439. The next prime is 404222547473. The reversal of 404222547456 is 654745222404.

404222547456 is a `hidden beast` number, since 4 + 0 + 42 + 22 + 547 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (404222547439) and next prime (404222547473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2116348321 + ... + 2116348511.

It is an arithmetic number, because the mean of its divisors is an integer number (1549067520).

Almost surely, 2^404222547456 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 404222547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743552409600).

404222547456 is an abundant number, since it is smaller than the sum of its proper divisors (1082882271744).

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

404222547456 is a wasteful number, since it uses less digits than its factorization.

404222547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 404222547456 in words is "four hundred four billion, two hundred twenty-two million, five hundred forty-seven thousand, four hundred fifty-six".