1020140000 has 120 divisors (see below), whose sum is σ = 2738442168. Its totient is φ = 370880000.

The previous prime is 1020139997. The next prime is 1020140021. The reversal of 1020140000 is 410201.

1020140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1020140000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217682 + ... + 222318.

Almost surely, 2^1020140000 is an apocalyptic number.

1020140000 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 1020140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369221084).

1020140000 is an abundant number, since it is smaller than the sum of its proper divisors (1718302168).

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

1020140000 is an equidigital number, since it uses as much as digits as its factorization.

1020140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1020140000 is about 31939.6305551583. The cubic root of 1020140000 is about 1006.6687620870.

Adding to 1020140000 its reverse (410201), we get a palindrome (1020550201).

It can be divided in two parts, 10201 and 40000, that multiplied together give a square (408040000 = 20200²).

The spelling of 1020140000 in words is "one billion, twenty million, one hundred forty thousand".