1034040000 has 280 divisors, whose sum is σ = 3910348288. Its totient is φ = 236160000.

The previous prime is 1034039987. The next prime is 1034040053. The reversal of 1034040000 is 404301.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839385 + ... + 840615.

Almost surely, 2^1034040000 is an apocalyptic number.

1034040000 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 1034040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955174144).

1034040000 is an abundant number, since it is smaller than the sum of its proper divisors (2876308288).

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

1034040000 is an equidigital number, since it uses as much as digits as its factorization.

1034040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1034040000 is about 32156.4923460256. The cubic root of 1034040000 is about 1011.2203006593.

Adding to 1034040000 its reverse (404301), we get a palindrome (1034444301).

The spelling of 1034040000 in words is "one billion, thirty-four million, forty thousand".