1008140000 has 240 divisors, whose sum is σ = 2991542400. Its totient is φ = 326592000.

The previous prime is 1008139997. The next prime is 1008140011. The reversal of 1008140000 is 418001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2659811 + ... + 2660189.

It is an arithmetic number, because the mean of its divisors is an integer number (12464760).

Almost surely, 2^1008140000 is an apocalyptic number.

1008140000 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 1008140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495771200).

1008140000 is an abundant number, since it is smaller than the sum of its proper divisors (1983402400).

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

1008140000 is an equidigital number, since it uses as much as digits as its factorization.

1008140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1008140000 is about 31751.2204489843. The cubic root of 1008140000 is about 1002.7060042694.

Adding to 1008140000 its reverse (418001), we get a palindrome (1008558001).

The spelling of 1008140000 in words is "one billion, eight million, one hundred forty thousand".