404391060480 has 528 divisors, whose sum is σ = 1505439129600. Its totient is φ = 92260270080.

The previous prime is 404391060431. The next prime is 404391060629. The reversal of 404391060480 is 84060193404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×404391060480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31589121 + ... + 31601919.

Almost surely, 2^404391060480 is an apocalyptic number.

404391060480 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 404391060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752719564800).

404391060480 is an abundant number, since it is smaller than the sum of its proper divisors (1101048069120).

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

404391060480 is a wasteful number, since it uses less digits than its factorization.

404391060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 404391060480 in words is "four hundred four billion, three hundred ninety-one million, sixty thousand, four hundred eighty".