1040130640 has 80 divisors (see below), whose sum is σ = 2489746896. Its totient is φ = 403865600.

The previous prime is 1040130593. The next prime is 1040130653. The reversal of 1040130640 is 460310401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 423701056 + 616429584 = 20584^2 + 24828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 763560 + ... + 764920.

Almost surely, 2^1040130640 is an apocalyptic number.

1040130640 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 1040130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244873448).

1040130640 is an abundant number, since it is smaller than the sum of its proper divisors (1449616256).

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

1040130640 is a wasteful number, since it uses less digits than its factorization.

1040130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1040130640 is about 32251.0564168059. The cubic root of 1040130640 is about 1013.2018248467.

It can be divided in two parts, 10401 and 30640, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 1040130640 in words is "one billion, forty million, one hundred thirty thousand, six hundred forty".