1001286400 has 108 divisors (see below), whose sum is σ = 2624410152. Its totient is φ = 376913920.

The previous prime is 1001286371. The next prime is 1001286421. The reversal of 1001286400 is 46821001.

1001286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104199 + ... + 113401.

It is an arithmetic number, because the mean of its divisors is an integer number (24300094).

Almost surely, 2^1001286400 is an apocalyptic number.

1001286400 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 1001286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312205076).

1001286400 is an abundant number, since it is smaller than the sum of its proper divisors (1623123752).

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

1001286400 is an equidigital number, since it uses as much as digits as its factorization.

1001286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1001286400 is about 31643.1098345280. The cubic root of 1001286400 is about 1000.4286162619.

The spelling of 1001286400 in words is "one billion, one million, two hundred eighty-six thousand, four hundred".