1008413444640 has 384 divisors, whose sum is σ = 3860670159360. Its totient is φ = 215985881088.

The previous prime is 1008413444639. The next prime is 1008413444671. The reversal of 1008413444640 is 464443148001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13041934 + ... + 13119026.

It is an arithmetic number, because the mean of its divisors is an integer number (10053828540).

Almost surely, 2^{1008413444640} is an apocalyptic number.

1008413444640 is a gapful number since it is divisible by the number (10) 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 1008413444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930335079680).

1008413444640 is an abundant number, since it is smaller than the sum of its proper divisors (2852256714720).

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

1008413444640 is a wasteful number, since it uses less digits than its factorization.

1008413444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77364 (or 77356 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 1008413444640 in words is "one trillion, eight billion, four hundred thirteen million, four hundred forty-four thousand, six hundred forty".