404951426880 has 896 divisors, whose sum is σ = 1759075024896. Its totient is φ = 76197888000.

The previous prime is 404951426861. The next prime is 404951426897. The reversal of 404951426880 is 88624159404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50926905 + ... + 50934855.

It is an arithmetic number, because the mean of its divisors is an integer number (1963253376).

Almost surely, 2^404951426880 is an apocalyptic number.

404951426880 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 404951426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879537512448).

404951426880 is an abundant number, since it is smaller than the sum of its proper divisors (1354123598016).

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

404951426880 is a wasteful number, since it uses less digits than its factorization.

404951426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 404951426880 in words is "four hundred four billion, nine hundred fifty-one million, four hundred twenty-six thousand, eight hundred eighty".