404282249280 has 2688 divisors, whose sum is σ = 1948410347520. Its totient is φ = 77396705280.

The previous prime is 404282249233. The next prime is 404282249321. The reversal of 404282249280 is 82942282404.

404282249280 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 82 + 2 + 492 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4167858192 + ... + 4167858288.

It is an arithmetic number, because the mean of its divisors is an integer number (724855040).

Almost surely, 2^404282249280 is an apocalyptic number.

404282249280 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 404282249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974205173760).

404282249280 is an abundant number, since it is smaller than the sum of its proper divisors (1544128098240).

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

404282249280 is a wasteful number, since it uses less digits than its factorization.

404282249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 404282249280 in words is "four hundred four billion, two hundred eighty-two million, two hundred forty-nine thousand, two hundred eighty".