1008680403744 has 384 divisors, whose sum is σ = 3382964766720. Its totient is φ = 289962021888.

The previous prime is 1008680403739. The next prime is 1008680403799. The reversal of 1008680403744 is 4473040868001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008680403744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11063047 + ... + 11153849.

It is an arithmetic number, because the mean of its divisors is an integer number (8809804080).

Almost surely, 2^{1008680403744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008680403744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691482383360).

1008680403744 is an abundant number, since it is smaller than the sum of its proper divisors (2374284362976).

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

1008680403744 is a wasteful number, since it uses less digits than its factorization.

1008680403744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90901 (or 90887 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1008680403744 in words is "one trillion, eight billion, six hundred eighty million, four hundred three thousand, seven hundred forty-four".