404398986880 has 128 divisors (see below), whose sum is σ = 1105970463360. Its totient is φ = 138513715200.

The previous prime is 404398986847. The next prime is 404398986889. The reversal of 404398986880 is 88689893404.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (404398986889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4529875 + ... + 4618285.

It is an arithmetic number, because the mean of its divisors is an integer number (8640394245).

Almost surely, 2^404398986880 is an apocalyptic number.

404398986880 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 404398986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552985231680).

404398986880 is an abundant number, since it is smaller than the sum of its proper divisors (701571476480).

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

404398986880 is a wasteful number, since it uses less digits than its factorization.

404398986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89458 (or 89446 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 67.

The spelling of 404398986880 in words is "four hundred four billion, three hundred ninety-eight million, nine hundred eighty-six thousand, eight hundred eighty".