1034040040 has 128 divisors (see below), whose sum is σ = 2690496000. Its totient is φ = 353721600.

The previous prime is 1034039987. The next prime is 1034040053. The reversal of 1034040040 is 400404301.

1034040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1034039996 and 1034040023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496095 + ... + 1496785.

It is an arithmetic number, because the mean of its divisors is an integer number (21019500).

Almost surely, 2^1034040040 is an apocalyptic number.

1034040040 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 1034040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345248000).

1034040040 is an abundant number, since it is smaller than the sum of its proper divisors (1656455960).

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

1034040040 is a wasteful number, since it uses less digits than its factorization.

1034040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1034040040 is about 32156.4929679839. The cubic root of 1034040040 is about 1011.2203136984.

Adding to 1034040040 its reverse (400404301), we get a palindrome (1434444341).

The spelling of 1034040040 in words is "one billion, thirty-four million, forty thousand, forty".