403988466984480 has 1008 divisors, whose sum is σ = 1752220290098880. Its totient is φ = 87480185877504.

The previous prime is 403988466984413. The next prime is 403988466984601. The reversal of 403988466984480 is 84489664889304.

It is a happy number.

403988466984480 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 8 + 8 + 46 + 6 + 98 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 403988466984480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 106731717 + ... + 110451963.

It is an arithmetic number, because the mean of its divisors is an integer number (1738313779860).

Almost surely, 2^{403988466984480} is an apocalyptic number.

403988466984480 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 403988466984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876110145049440).

403988466984480 is an abundant number, since it is smaller than the sum of its proper divisors (1348231823114400).

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

403988466984480 is a wasteful number, since it uses less digits than its factorization.

403988466984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720313 (or 3720283 counting only the distinct ones).

The product of its (nonzero) digits is 9172942848, while the sum is 81.

The spelling of 403988466984480 in words is "four hundred three trillion, nine hundred eighty-eight billion, four hundred sixty-six million, nine hundred eighty-four thousand, four hundred eighty".