1000000040 has 96 divisors (see below), whose sum is σ = 2520898200. Its totient is φ = 356428800.

The previous prime is 1000000033. The next prime is 1000000087. The reversal of 1000000040 is 400000001.

1000000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 181010116 + 818989924 = 13454^2 + 28618^2 .

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 junction number, because it is equal to n+sod(n) for n = 999999970 and 1000000033.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193490 + ... + 198590.

Almost surely, 2^1000000040 is an apocalyptic number.

1000000040 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 1000000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260449100).

1000000040 is an abundant number, since it is smaller than the sum of its proper divisors (1520898160).

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

1000000040 is a wasteful number, since it uses less digits than its factorization.

1000000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5150 counting only the distinct ones).

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

The square root of 1000000040 is about 31622.7772341393. Note that the first 3 decimals coincide. The cubic root of 1000000040 is about 1000.0000133333. Note that the first 4 decimals are identical.

Adding to 1000000040 its reverse (400000001), we get a palindrome (1400000041).

It can be divided in two parts, 10000000 and 40, that multiplied together give a square (400000000 = 20000²).

The spelling of 1000000040 in words is "one billion, forty", and thus it is an aban number and an uban number.