1000334040 has 128 divisors (see below), whose sum is σ = 3261081600. Its totient is φ = 244546560.

The previous prime is 1000334017. The next prime is 1000334047. The reversal of 1000334040 is 404330001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000334047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63604 + ... + 77756.

It is an arithmetic number, because the mean of its divisors is an integer number (25477200).

Almost surely, 2^1000334040 is an apocalyptic number.

1000334040 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 1000334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630540800).

1000334040 is an abundant number, since it is smaller than the sum of its proper divisors (2260747560).

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

1000334040 is a wasteful number, since it uses less digits than its factorization.

1000334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1000334040 is about 31628.0577968360. The cubic root of 1000334040 is about 1000.1113342709. Note that the first 3 decimals are identical.

Adding to 1000334040 its reverse (404330001), we get a palindrome (1404664041).

The spelling of 1000334040 in words is "one billion, three hundred thirty-four thousand, forty".