1040000000 has 176 divisors, whose sum is σ = 2798625648. Its totient is φ = 384000000.

The previous prime is 1039999991. The next prime is 1040000011. The reversal of 1040000000 is 401.

It can be written as a sum of positive squares in 8 ways, for example, as 616628224 + 423371776 = 24832^2 + 20576^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79999994 + ... + 80000006.

Almost surely, 2^1040000000 is an apocalyptic number.

1040000000 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 1040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399312824).

1040000000 is an abundant number, since it is smaller than the sum of its proper divisors (1758625648).

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

1040000000 is an frugal number, since it uses more digits than its factorization.

1040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1040000000 is about 32249.0309931942. The cubic root of 1040000000 is about 1013.1594038202.

Adding to 1040000000 its reverse (401), we get a palindrome (1040000401).

It can be divided in two parts, 10 and 40000000, that multiplied together give a square (400000000 = 20000²).

The spelling of 1040000000 in words is "one billion, forty million", and thus it is an aban number and an uban number.