403318678560 has 1152 divisors, whose sum is σ = 1632228433920. Its totient is φ = 83174547456.

The previous prime is 403318678519. The next prime is 403318678571. The reversal of 403318678560 is 65876813304.

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 191 ways as a sum of consecutive naturals, for example, 737328207 + ... + 737328753.

It is an arithmetic number, because the mean of its divisors is an integer number (1416864960).

Almost surely, 2^403318678560 is an apocalyptic number.

403318678560 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 403318678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816114216960).

403318678560 is an abundant number, since it is smaller than the sum of its proper divisors (1228909755360).

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

403318678560 is a wasteful number, since it uses less digits than its factorization.

403318678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 403318678560 in words is "four hundred three billion, three hundred eighteen million, six hundred seventy-eight thousand, five hundred sixty".