1008275424000 has 576 divisors, whose sum is σ = 3644220128640. Its totient is φ = 245602713600.

The previous prime is 1008275423933. The next prime is 1008275424017. The reversal of 1008275424000 is 4245728001.

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, 121051836 + ... + 121060164.

Almost surely, 2^{1008275424000} is an apocalyptic number.

1008275424000 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 1008275424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822110064320).

1008275424000 is an abundant number, since it is smaller than the sum of its proper divisors (2635944704640).

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

1008275424000 is an equidigital number, since it uses as much as digits as its factorization.

1008275424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 1008275424000 in words is "one trillion, eight billion, two hundred seventy-five million, four hundred twenty-four thousand".