1008409875840 has 384 divisors, whose sum is σ = 3670367893920. Its totient is φ = 264498462720.

The previous prime is 1008409875839. The next prime is 1008409875857. The reversal of 1008409875840 is 485789048001.

1008409875840 is a `hidden beast` number, since 10 + 0 + 8 + 40 + 9 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9433572 + ... + 9539868.

Almost surely, 2^{1008409875840} is an apocalyptic number.

1008409875840 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 1008409875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835183946960).

1008409875840 is an abundant number, since it is smaller than the sum of its proper divisors (2661958018080).

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

1008409875840 is an equidigital number, since it uses as much as digits as its factorization.

1008409875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106392 (or 106368 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1008409875840 in words is "one trillion, eight billion, four hundred nine million, eight hundred seventy-five thousand, eight hundred forty".