1040130000 has 600 divisors, whose sum is σ = 4512155648. Its totient is φ = 217728000.

The previous prime is 1040129999. The next prime is 1040130001. The reversal of 1040130000 is 310401.

It is an interprime number because it is at equal distance from previous prime (1040129999) and next prime (1040130001).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040130001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189937 + ... + 8190063.

Almost surely, 2^1040130000 is an apocalyptic number.

1040130000 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 1040130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256077824).

1040130000 is an abundant number, since it is smaller than the sum of its proper divisors (3472025648).

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

1040130000 is a wasteful number, since it uses less digits than its factorization.

1040130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1040130000 is about 32251.0464946488. The cubic root of 1040130000 is about 1013.2016170365.

Adding to 1040130000 its reverse (310401), we get a palindrome (1040440401).

It can be divided in two parts, 10401 and 30000, that added together give a square (40401 = 201²).

The spelling of 1040130000 in words is "one billion, forty million, one hundred thirty thousand".